Ph. Clément

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Contact information

Address at the Delft University of Technology:

Prof. Dr. Ph.P.J.E. Clément, Chair of Functional Analysis
EWI/DIAM
Mekelweg 4
2628 CD Delft
Room: HB 04.040
Tel: 015-2784560
Fax: 015-2787245
e-mail: Ph.P.J.E.Clement@ewi.tudelft.NL


Other information


List of publications

  1. (with J. Descloux,), On the rigid displacement condition, Internat. J. Num. Meth. in Engineering, 4, (1972), 583-586.
  2. Approximation by finite element functions using local regularization, RAIRO Anal. Numer. R-2, (1975), 77-84.
  3. Continuous branches of positive solutions for a class of nonlinear second-order differential equations, Manuscripta Math., 16, (1975), 195-202.
  4. Eigenvalue problem for a class of cyclically maximal monotone operators, Nonlinear Analysis, T.M.A., 1, (1977), 93-103.
  5. Positive eigenfunctions for a class of second-order elliptic equations with strong nonlinearity, Comm. P.D.E., 6, (1977), 615-625.
  6. (with L.A. Peletier), Un principe du maximum pour des opérateurs elliptiques non coercifs, C.R. Acad. Sc. Paris, Série A, 287, (1978), 945-946.
  7. (with L.A. Peletier), On positive and concave solutions of two-point nonlinear eigenvalue problems, J. Math. Anal. Appl., 69, (1979), 329-340.
  8. (with J.A. Nohel ), Abstract linear and nonlinear Volterra equations preserving positivity, SIAM J. Math. Anal., 10, (1979), 365-388.
  9. On abstract Volterra equations with kernel of positive resolvent, in: Volterra Equations, Helsinki 1978, Lecture Notes in Math. 737, (1979), 45-49.
  10. (with W.T. Koiter), On the so-called comparison theorem in the linear theory of elasticity, Z.A.M.P., 30, (1979), 534-536.
  11. (with L.A. Peletier), An anti-maximum principle for second-order elliptic operators, J. Diff. Equations, 34, (1979), 218-229.
  12. On abstract Volterra equations with kernels having a positive resolvent, Israel J. Math., 36, (1980), 193-200.
  13. (with J.A. Nohel), Asympotic behaviour of solutions of nonlinear Volterra equations with completely positive kernels, SIAM J. Math. Anal., 12, (1981), 514-535.
  14. (with R.C. MacCamy and J.A. Nohel), Asymptotic properties of solutions of nonlinear Volterra equations, J. Int. Equations, 3, (1981), 185-216.
  15. (with J.B. Baillon), Ergodic theorems for nonlinear Volterra equations in Hilbert space, Nonlinear Analysis, T.M.A., 5, (1981), 789-801.
  16. (with L.A. Peletier), Sur les solutions surharmoniques de problèmes aux valeurs propres elliptiques, C.R. Acad. Ac. Paris, Série I, 293, (1981), 393-395.
  17. (with J. van Kan), An example of "secondary bifurcation" in a non autonomous twopoint boundary value problem, Proc. Roy. Soc. Edinb. 91A, (1981), 101-105.
  18. On continua of positive and superharmonic solutions to semilinear eigenvalue problems, Collège de France Seminar, Volume VI, eds. H. Brézis and J.L. Lions, Boston: Pitman, Res. Notes in Math., 103, (1984), 198-203.
  19. On abstract Volterra equations with completely positive kernels, in: Infinite Dimensional Systems, Lecture Notes in Math., 1076, (1984), 32-40.
  20. (with L.A. Peletier), Positive superharmonic solutions to semilinear eigenvalue problems, J. Math. Anal. Appl., 100, (1984), 561-582.
  21. (with L.A. Peletier), On a nonlinear eigenvalue problem occuring in population genetics, Proc. Roy. Soc. Edinb., 100A, (1985), 85-101.
  22. Minimax methoden, in Vacantiecursus 1985, Variatierekening, CWI Syllabus 7, CWI Amsterdam, (1985), 99-118.
  23. On the continuation method and the method of monotone iterations, Proceedings of Symposia in Pure Mathematics, AMS, Volume 45, Part 1, (1986), 263-270.
  24. (with G. Sweers), Existence et multiplicité des solutions d'un problème aux valeurs propres elliptique semilinéaire, C.R. Acad. Sc. Paris, Série I, 302, (1986), 681-683.
  25. (with C.A. Timmermans), On c0-semigroups generated by differential operators satisfying Ventcel's boundary conditions, Indag. Math., 89, (1986), 379-387.
  26. (with G. Sweers), Existence and multiplicity results for a semilinear elliptic eigenvalue problem, Ann. Scuola Norm. Sup. Pisa Cl. Sci. Serie IV, 14, (1987), 97-121.
  27. (with O. Diekmann, M. Gyllenberg, H.J.A.M. Heijmans and H.F. Thieme), Perturbation theory for dual semigroups I. The sun-reflexive case, Math. Ann., 277, (198 7), 709-725.
  28. (with G. Sweers), Getting a solution between sub- and supersolutions without monotone iterations, Rend. Ist. Matem. Trieste, 19, (1987), 189-194.
  29. (with G. Da Prato), Existence and regularity results for an integral equation with infinite delay in a Banach space, Integral. Eq. and Operator Th., 11, (1988), 480-500.
  30. (with E. Mitidieri), Qualitative properties of solutions of Volterra Equations in Banach spaces, Israel J. Math., 64, (1988), 1-24.
  31. (with O. Diekmann, M. Gyllenberg, H.J.A.M. Heijmans and H.F. Thieme), Perturbation theory for dual semigroups II. Time-dependent perturbations in the sun-reflexive case, Proc. Roy. Soc. Edinb. 109A, (1988), 145-172.
  32. (with J. Prüss), On second-order differential equations in Hilbert space, Boll. U.M.I. (7)3-B, (1989), 623-638.
  33. (with O. Diekmann, M. Gyllenberg, H.J.A.M. Heijmans and H.F. Thieme), Perturbation theory for dual semigroups III. Nonlinear Lipschitz continuous perturbation in the sun-reflexive case, "Volterra Integrodifferential Equations in Banach Spaces and App lication", Pitman Res. Notes Math. Ser. 190, Longman Sci. Tech., Harlow, (1989), 67-89.
  34. (with O. Diekmann, M. Gyllenberg, H.J.A.M. Heijmans and H.F. Thieme), Perturbation theory for dual semigroups IV. The intertwining formula and the canonical pairing, in "Semigroup theory and applications", Lecture Notes in Pure and Appl. Math. 116, Marcel Dekker, New York, (1989), 95-116.
  35. (with O. Diekmann, M. Gyllenberg, H.J.A.M. Heijmans and H.F. Thieme), A Hille-Yosida theorem for a class of weakly* continuous semigroups, Semigroup Forum., 38, (1989), 157-178.
  36. (with G. Sweers), On subsolutions to a semilinear elliptic problem, in "Recent advances in nonlinear elliptic and parabolic problems" Pitman Res. Notes Math. Ser. 208 Longman Sci. Tech. Harlow (1989), 267-273.
  37. (with J. Prüss), Completely positive measures and Feller semigroups, Math. Ann., 287, (1990), 73-105.
  38. (with P. Egberts), On the sum of two maximal monotone operators, Differential and Integral Eq., 3, (1990), 1127-1138.
  39. (with G. Da Prato), Some results on nonlinear heat equations for materials of fading memory type, J. Integr. Eq. and Appl., 2, (1990), 375-391.
  40. (with J.B. Baillon), Examples of unbounded imaginary powers of operators, J. Funct. Anal., 100 (1991), 419-434.
  41. (with J. Descloux), A variational approach to a problem of rotating rods, Arch. Rat. Mech. Anal., 114, (1991), 1-13.
  42. (with. B. de Pagter), Some remarks on the Banach space-valued Hilbert transform, Indag. Mathem., N.S. 2(4), (1991), 453-460.
  43. (with J. Prüss), Global existence for a semilinear parabolic Volterra equation, Math. Z., 209, (1992), 17-26.
  44. (with P. Grisvard), Sommes d'opérateurs et régularité Lp dans les problèmes aux limites, C.R. Acad. Sci. Paris, t. 314, (1992), 821-824.
  45. (with C.J. van Duijn and Li), On a nonlinear elliptic-parabolic PDE system in a two dimensional groundwater flow, SIAM, Math. Anal., 23, (1992), 836-851.
  46. (with D.G. de Figueiredo, E. Mitidieri), Positive solutions of semilinear elliptic systems, Comm. P.D.E., 17, (1992), 932-940.
  47. Lp-Lq coerciveness and applications to nonlinear integrodifferential equations, International Symposium on Nonlinear Problems in Engineering and Science, Science Press, Beijing, China, 1992, 36-42.
  48. (with W. Caspers), Point interactions in Lp, Semigroup Forum., 46, (1993), 253-265.
  49. (with W. Caspers), A bifurcation problem for point interactions in L2 ( 3), in "Semigroups of Linear and Nonlinear Operators and Applications, G.R. Goldstein and J.A. Goldstein (eds.), Kluwer Academic Publishers, (1993), 99-108.
  50. (with J.B. Baillon, A. Greven and F. den Hollander), A variational approach for branching random walk in random environment, Annals of Prob., 21, (1993), 290-317.
  51. (with R. Manásevich and E. Mitidieri), Positive solutions for a quasilinear system via blow up, Comm. P.D.E., 18, (1993), 2071-2106.
  52. (with Shuanhu Li), Abstract parabolic quasilinear equations and application to a groundwater flow problem, Advances in Math. Sci. and Appl., 3, (1993/94), 17-32.
  53. (with W. Caspers), A different approach to singular solutions, Differential and integral Eq., 7, (1994), 1227-1240.
  54. (with J.B. Baillon, A. Greven and F. den Hollander), On a variational problem for an infinite particle system in a random medium, J. reine angew. Math. 454 (1994), 181-217.
  55. (with R.C.A.M. van der Vorst), Interpolation Spaces for J-systems and Applications to Critical Point Theory, Panamerican Math. J., 4, (1994), 1-45.
  56. (with S.O. Londen), On the sum of fractional derivatives and m-accretive operators, in "Partial Differential Equation Models in Physics and Biology", Vol. 82, Math. Res. Eds. G. Lumer, S. Nicaise and B.W. Schulze, Akademie Verlag (1994), 91-100.
  57. (with J.-B. Baillon, A. Greven and F. den Hollander), On the attracting orbit of a non-linear transformation arising from renormalization of hierarchically interacting diffusions, Can. J. Math., 47, (1995), 3-27.
  58. (with R. Hagmeijer and G. Sweers), On a Dirichlet problem related with the invertibility of mappings arising in 2D grid generation, in "Calculus of variations, applications and computations", Pitman Res. Notes Math. Ser. 326, Longman Sci. Tech. Harlow (1995), 67-83.
  59. (with R.C.A.M. van der Vorst), On a semilinear elliptic system, Differential and Integral Eq., 8, (1995), 1317-1329.
  60. (with P. Felmer and E. Mitidieri), Solutions homoclines d'un système hamiltonien non-borné et superquadratique, C.R. Acad. Sci. Paris, t. 320, (1995), 1481-1484.
  61. (with R. Hagmeijer and G. Sweers), On the invertibility of mappings arising in 2D grid generation problems, Numer. Math., 73, (1996), 37-51.
  62. (with R. Manásevich and E. Mitidieri), On a modified capillary equation, J. Diff. Equations, 124, (1996), 343-358.
  63. (with D.G. de Figueiredo and E. Mitidieri), A Priori estimates for positive solutions of semilinear elliptic systems via Hardy-Sobolev inequalities, in "Nonlinear partial differential equations", Pitman Res. Notes Math. Ser. 343, Longman Sci. Tech. Harlow (1996), 73-91.
  64. (with D.G. de Figueiredo and E. Mitidieri), Quasilinear elliptic equations with critical exponent, Topological Methods in Nonlinear Analysis, 7, (1996), 133-170.
  65. (with G. Da Prato), Some results on stochastic convolutions arising in Volterra equations perturbed by noise, Rend. Atti Acc. Lincei., 9, 7, (1996), 147-153.
  66. (with P. Felmer and E. Mitidieri), Homoclinic orbits for a class of infinite dimensional Hamiltonian systems, Ann. Scuola Norm. Sup. Pisa, Scienze Fisiche e Matematiche, 24, 4, (1997), 367-393.
  67. (with R.C.A.M. van der Vorst) On the non-existence of homoclinic orbits for a class of infinite dimensional Hamiltonian systems, Proc. A.M.S., 125, 4, (1997), 1167-1176.
  68. (with J.-B. Baillon, A. Greven and F. den Hollander), On the attracting orbit of a nonlinear transformation arising from renormalization of hierarchically interacting diffusions, Part II the noncompact case, J. Funct. Anal., 146, 1, (1997), 236-298.
  69. (with E. Mitidieri) On a class of nonlinear elliptic systems. Nonlinear evolution equations and their applications (Japanese) (Kyoto, 1996). Surikaisekikenkyusho Kokyuroku No. 1009 (1997), 132--140.
  70. (with R. Manásevich and E. Mitidieri), Some Existence and Non-existence Results for a Homogeneous Quasilinear Problem, Asymptot. Anal. 17 (1998), no. 1, 13--29.
  71. (with G. Da Prato), White noise perturbation of the heat equation in materials with memory, Dynam. Systems Appl. 6 (1997), no. 4, 441--460.
  72. (with Shangquan Bu and Sylvie Guerre-Delabrière) Regularity of pairs of positive operators, Illinois J. Math. 42 (1998), no. 3, 357--370.
  73. (with G. Da Prato and J. Prüss), White noise perturbation of the equations of linear parabolic viscoelasticity, Rend. Ist. Matem. Trieste 29 (1997), 207-220.
  74. (with Ph.; Gripenberg, G.; Londen, S.-O.) Schauder estimates for equations with fractional derivatives. Trans. Amer. Math. Soc. 352 (2000), no. 5, 2239--2260.
  75. (with Gripenberg, G.; Londen, S.-O.) Hölder regularity for a linear fractional evolution equation. Topics in nonlinear analysis, 69--82, Progr. Nonlinear Differential Equations Appl., 35, Birkhäuser, Basel, 1999.
  76. (with García-Huidobro, M.; Manásevich, R.; Schmitt, K.) Mountain pass type solutions for quasilinear elliptic equations. Calc. Var. Partial Differential Equations 11 (2000), no. 1, 33--62.
  77. (with Fleckinger, Jacqueline; Mitidieri, Enzo; de Thélin, François) Existence of positive solutions for a nonvariational quasilinear elliptic system. J. Differential Equations 166 (2000), no. 2, 455--477.
  78. On the method of sums of operators. Semi-groupes d'opérateurs et calcul fonctionnel (Besançon, 1998), 1--30, Publ. Math. UFR Sci. Tech., 16, Univ. Franche-Comté, Besançon, 1998.
  79. (with Gripenberg, Gustaf; Londen, Stig-Olof) Smoothness in fractional evolution equations and conservation laws. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 29 (2000), no. 1, 231--251.
  80. (with Sweers, G.) Uniform anti-maximum principles. J. Differential Equations 164 (2000), no. 1, 118--154.
  81. (with Da Prato, Giuseppe) Stochastic convolutions with kernels arising in some Volterra equations. Volterra equations and applications (Arlington, TX, 1996), 57--65, Stability Control Theory Methods Appl., 10, Gordon and Breach, Amsterdam, 2000.
  82. (with de Pagter, B.; Sukochev, F. A.; Witvliet, H.) Schauder decomposition and multiplier theorems. Studia Math. 138 (2000), no. 2, 135--163.
  83. (with Guerre-Delabrière, Sylvie) On the regularity of abstract Cauchy problems and boundary value problems. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 9 (1998), no. 4, 245--266 (1999).

Books


Proceedings


Addendum

  1. Méthode des éléments finis appliquée à des problèmes variationnels de type indéfini, Thèse de Doctorat, EPF-Lausanne, (1974), 106 p.
  2. (with I.B. Emmerth), On the structure of continua of positive and concave solutions of two-point nonlinear eigenvalue problems, MRC report # 1766, Univ. of Wisconsin, Madison, (1977).
  3. Rekenen en Bewijzen, Inaugural Lecture at the T.H. Delft, Delftse Universitaire Pers., (1979).
  4. (with J. Descloux), Continuation and nodal properties of solutions of an eigenvalue problem for rotating rods, Report of the Faculty of Mathematics and Informatics, 84-51, Delft, (1984).
  5. (with C.A. Timmermans), A unified approach to pointwise and uniform saturation for Bernstein polynomials, Report of the Faculty of Mathematics and Informatics, 86-145, Delft, (1986).
  6. On (Lp-Lq) coerciveness for a class of integrodifferential equations on the line, two lectures at the 23rd annual Voronezh Winter School of Mathematics (USSR), January 1990, Technical Report 5-4-90, University of Voronezh.

Coauthors

(not exhaustive)
 
 

S.B. Angenent, angenent@math.wisc.edu
J.B. Baillon, baillon@jonas.univ-lyon1.fr
Shangquan Bu
W. Caspers, wcaspers@wxs.nl
G. Da Prato, DaPrato@sabsns.sns.it
J. Descloux
O. Diekmann, diekmann@math.ruu.nl
H. van Duijn, Hans.van.Duyn@cwi.nl
P. Egberts, egberts@nitg.tno.nl
P. Felmer, pfelmer@dim.uchile.cl
D.G. De Figueiredo, djairo@ime.unicamp.br
M. García-Huidobro, mgarcia@riemann.mat.puc.cl
A. Greven, zech@mi.uni-erlangen
G. Gripenberg, gustaf.gripenberg@helsinki.fi
P. Grisvard
Sylvie Guerre-Delabrière
M. Gyllenberg, matsgyl@utu.fi
R. Hagmeijer, hagm@nlr.nl
H.J.A.M. Heijmans, henkh@cwi.nl
F. den Hollander, denholla@sci.kun.nl
J. van Kan, J.J.I.M.vanKan@its.tudelft.nl
W.T. Koiter
Shuanhu Li, s.li@pgrad.unimelb.edu.au
S.O. Londen, slonden@hila.hut.fi
R.C. MacCamy
R. Manásevich, manasevi@dim.uchile.cl
E. Mitidieri, mitidier@uts.univ.trieste.it
J.A. Nohel
B. de Pagter, B.dePagter@its.tudelft.nl
L.A. Peletier, peletier@wi.leidenuniv.nl
J. Prüss, anokd@volterra.mathematik.uni-halle.de
F. Sukochev, sukochev@ist.flinders.edu.au
G. Sweers, g.h.sweers@its.tudelft.nl
H. Thieme, athrt@asuvm.inre.asu.edu
C.A. Timmermans
R.C.A.M. van der Vorst, rvander@math.gatech.edu
H. Witvliet,
(click on the ball for the first joint paper)


Last modified on 3-3-2001