P.P.J.E. Clement

Search results

• 2023

  A solution between sub- and supersolutions for semilinear elliptic equations with a nonlocal term in a continuous setting

  Clément, P. & Sweers, G., 2023, In: Communications on Pure and Applied Analysis. 22, 4, p. 1420-1428 9 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  • Supersolution 100%
  • Subsolution 100%
  • Semilinear 100%
  • Elliptic Equation 100%
  • Weak Solution 100%
• 2012

  A simple approach to the Cauchy problem for complex Ginzburg-Landau equations by compactness methods

  Clement, PPJE., Okazawa, N., Sobajima, M. & Yokota, T., 2012, In: Journal of Differential Equations. 253, 4, p. 1250-1263 14 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access
  12 Citations (Scopus)
• 2011

  A Trotter product formula for gradient flows in metric spaces

  Clement, PPJE. & Maas, J., 2011, In: Journal of Evolution Equations. 11, p. 405-427 23 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  6 Citations (Scopus)

• Viscoelastic flows with complex free surfaces: numerical analysis and simulation

  Bonito, A., Clement, PPJE. & Picasso, M., 2011, Numerical Methods for Non-Newtonian Fluids. Ciarlet, PG. (ed.). Amsterdam: Elsevier, p. - 65 p.

  Research output: Chapter in Book/Conference proceedings/Edited volume › Chapter › Scientific

  Open Access
• 2010

  A Crandall-Liggett approach to gradient flows in metric spaces

  Clément, PPJE. & Desch, W., 2010, In: Journal of Abstract Differential Equations and Applications. 1, 1, p. 46-60 15 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

• Some remarks on the equivalence between metric formulations of gradient flows

  Clement, PPJE. & Desch, W., 2010, In: Unione Matematica Italiana. Bollettino: articoli di ricerca matematica. 3, 3, p. 583-588 6 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  5 Citations (Scopus)
• 2006

  Mathematical analysis of a simplified hookean dumbbells model arising from viscoelastic flows

  Bonito, A., Clément, PPJE. & Picasso, M., 2006, In: Journal of Evolution Equations. 6, p. 381-398 18 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access

• On regions of existence and nonexistence of solutions for a system of p-q-laplacians

  Clément, PPJE., Garcia - Huidobro, M., Guerra, I. & Manasevich, R., 2006, In: Asymptotic Analysis. 48, p. 1-18 18 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  5 Citations (Scopus)
• 2004

  Existence of solutions to a semilinear elliptic system through Orlicz-Sobolev spaces

  Clément, PPJE., de Pagter, B., Sweers, GH. & de Thelin, F., 2004, In: Mediterranean Journal of Mathematics. 1, p. 241-267 27 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

• Global smooth solutions to a class of one-dimensional hyperbolic problems with boundary damping

  Darmawijoyo, X., Clément, PPJE. & van Horssen, WT., 2004, In: Differential and Integral Equations. 17, 1-2, p. 151-164 14 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

• Quasilinear evolutionary equations and continuous interpolation spaces

  Clément, PPJE., Londen, SO. & Simonett, G., 2004, In: Differential and Integral Equations. 196, 2, p. 418-447 30 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access
  61 Citations (Scopus)

• Well-posedness of the martingale problem for some degenerate diffusion processes occurring in dynamics of populations

  Cerrai, S. & Clément, PPJE., 2004, In: Bulletin des Sciences Mathematiques. 128, 5, p. 355-389 35 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  Open Access
  12 Citations (Scopus)
• 2003

  Global smooth solutions for a quasilinear fractional evolution equation

  Bazhlekova, E. & Clément, PPJE., 2003, In: Journal of Evolution Equations. 3, p. 237-246 10 p.

  Research output: Contribution to journal › Article › Scientific

  3 Citations (Scopus)

• On a Rayleigh wave equation with boundary damping

  Darmawijoyo, X., van Horssen, WT. & Clément, PPJE., 2003, In: Nonlinear Dynamics: an international journal of nonlinear dynamics and chaos in engineering systems. 33, 4, p. 399-429 31 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  10 Citations (Scopus)

• Schauder estimates for a class of second order elliptic operators on a cube

  Cerrai, S. & Clément, PPJE., 2003, In: Bulletin des Sciences Mathematiques. 127, p. 669-688 20 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  7 Citations (Scopus)

• Some remarks on maximal regularity of parabolic problems

  Clément, PPJE. & Prüss, J., 2003, In: Progress in Nonlinear Differential Equations and Their Applications. 55, p. 101-111 11 p.

  Research output: Contribution to journal › Article › Scientific
• 2002

  An analytic semigroup setting for a class of volterra equations

  Clément, PPJE., Desch, W. & Homan, KW., 2002, In: Journal of Integral Equations and Applications. 14, 3, p. 239-281 43 p.

  Research output: Contribution to journal › Article › Scientific

  4 Citations (Scopus)

• A priori estimates and continuation methods for positive solutions of p-Laplace equations

  Azizieh, C. & Clément, PPJE., 2002, In: Journal of Differential Equations. 179, p. 213-245 33 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  70 Citations (Scopus)

• Existence and a priori estimates for positive solutions of p-Laplace systems

  Azizieh, C., Clément, PPJE. & Mitidieri, E., 2002, In: Journal of Differential Equations. 184, p. 422-442 21 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  50 Citations (Scopus)

• Mountain pass type solutions for quasilinear elliptic inclusions

  Clément, PPJE., García-Huidobro, M. & Manásevich, R., 2002, In: Communications in Contemporary Mathematics. 4, p. 607-637 31 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  3 Citations (Scopus)
• 2001

  An analytical introduction to stochastic differential equations: part I - The Langevin Equation

  Clément, PPJE. & van Gaans, OW., 2001, In: Universita degli Studi di Trieste. Istituto di Matematica. Rendiconti. 32, p. 217-269 53 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

• An operator-valued transference principle and maximal regularity on vector-valued Lp-spaces

  Clément, PPJE. & Prüss, J., 2001, Proceedings of the Bad Herrenalb [Karlsruhe], Germany, conference. New York: Marcel Dekker, p. 67-87 21 p.

  Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

• Maximal regularity in continuous interpolation spaces and quasilinear parabolic equations

  Clément, PPJE. & Simonett, G., 2001, In: Journal of Evolution Equations. 1, p. 39-67 29 p.

  Research output: Contribution to journal › Article › Scientific

  36 Citations (Scopus)

• On a class of degenerate elliptic operators arising from Fleming-Viot processes

  Cerrai, S. & Clément, PPJE., 2001, In: Journal of Evolution Equations. 1, p. 243-276 34 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  21 Citations (Scopus)

• Regularity properties of solutions of fractional evolution equations

  Clément, PPJE., Gripenberg, G. & Londen, SO., 2001, Proceedings of the Bad Herrenalb [Karlsruhe], Germany, conference. New York: Marcel Dekker, p. 235-246 12 p.

  Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review
• 2000

  Editorship

  Clément, PPJE., 2000, Proceedings of the colloquium. F Hollander, D., JMAM Neerven, V. & B Pagter, D. (eds.). Amsterdam: Koninklijke Nederlandse Akademie van Wetenschappen, p. -

  Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

• Existence of positive solutions for a nonvariational quasilinear elliptic system

  Clément, PPJE., Fleckinger, J., Mitidieri, E. & Thélin, F., 2000, In: Journal of Differential Equations. 166, p. 455-477 23 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  82 Citations (Scopus)

• Maximal Lp-Regularity and R-sectorial operators

  Clément, PPJE., 2000, Proceedings. A Yagi (ed.). S.l.: s.n., p. 108-121 14 p.

  Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

• Mountain pass type solutions for quasilinear equations

  Clément, PPJE., García-Huidobro, M., Manasevich, R. & Schmitt, K., 2000, In: Calculus of Variations and Partial Differential Equations. 11, p. 33-62 30 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  131 Citations (Scopus)

• Regularity aspects of fractional evoluation equations

  Clément, PPJE. & Londen, SO., 2000, In: Universita degli Studi di Trieste. Istituto di Matematica. Rendiconti. 31, 2, p. 19-30 12 p.

  Research output: Contribution to journal › Article › Scientific

  6 Citations (Scopus)

• Schauder decompositions and multiplier theorems

  Clément, PPJE., de Pagter, B., Sukochev, F. & Witvliet, H., 2000, In: Studia Mathematica. 138, 2, p. 135-163 29 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  176 Citations (Scopus)

• Schauder estimates for equations with fractional derivations

  Clément, PPJE., Gripenberg, G. & Londen, SO., 2000, In: American Mathematical Society. Transactions. 352, p. 2239-2260 22 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  46 Citations (Scopus)

• Smoothness in fractional evolution equations and conservation laws

  Gripenberg, G., Clément, PPJE. & Londen, SO., 2000, In: Scuola Normale Superiore di Pisa. Annali. Classe di Scienze. 0036-9918, p. 231-251 21 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

• Stochastic convolutions with kernels arising on some Volterra equations

  Clément, PPJE. & Da Prato, G., 2000, In: Stability and Control: theory, methods and applications. 10, p. 57-65 9 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

• Uniform anti-maximum principles

  Clément, PPJE. & Sweers, GH., 2000, In: Journal of Differential Equations. 164, p. 118-154 37 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  25 Citations (Scopus)

• Uniform anti-maxium principle for polyharmonic boundary value problems

  Clément, PPJE. & Sweers, GH., 2000, In: American Mathematical Society. Proceedings. 129, 2, p. 467-474 8 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  14 Citations (Scopus)
• 1999

  Hölder regularity for a linear fractional evolution equation

  Clément, PPJE., Gripenberg, G. & Londen, SO., 1999, Topics in nonlinear analysis: the Herbert Amann anniversary volume (Progress in nonlinear differential equations and their applications 35). J Escher & G Simonett (eds.). Basel: Birkhäuser, p. 69-82

  Research output: Chapter in Book/Conference proceedings/Edited volume › Chapter › Scientific › peer-review

• Positive solutions of small norm to a quasilinear elliptic inclusion problem

  Clément, PPJE., 1999, In: Advances in Differential Equations. 4, 1, p. 71-114 44 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  1 Citation (Scopus)

• Some remarks on the method of sums

  Clément, PPJE., Gripenberg, G. & Hognas, V., 1999, Proceedings. Providence: American Mathematical Society, p. 125-134 10 p.

  Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific
• 1998

  On the regularity of abstract Cauchy problems and boundary value problems [niet eerder opgevoerd]

  Clément, PPJE. & Guerre-Delabrière, S., 1998, In: Accademia Nazionale dei Lincei. Atti. Matematica e Applicazioni. Rendiconti. 9, 4, p. 245-266 22 p.

  Research output: Contribution to journal › Article › Scientific › peer-review

  27 Citations (Scopus)

• Semi-groupes d'opérateurs et calcul fonctionnel. Juin 1998: Ecole d'Eté (fasc. no. 16) [niet eerder opgevoerd]

  Clément, PPJE., Coulhon, T., le Merdy, C., de Pagter, B., Witvliet, H., Prüss, J. & Okazawa, N., 1998, Besançon: Université de Franche-Comté. 130 p.

  Research output: Book/Report › Report › Professional