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Prof. Dr. rer. nat. Petra Wittbold

Fakultät für Mathematik

Anschrift
Thea-Leymann-Str. 9
45127 Essen
Raum
WSC-N-4.41
Telefon
Telefon: +49 201 183 7236
E-Mail
petra.wittbold@uni-due.de
Webseite
http://www.uni-due.de/mathematik/ag_wittbold/wittbold
Sprechzeiten
nach Vereinbarung

Funktionen

  • Professorinnen/Professoren, Personal FB Mathematik, Campus Essen

  • Gruppe der Professorinnen und Professoren, Fakultätsrat

Die folgenden Publikationen sind in der Online-Universitätsbibliographie der Universität Duisburg-Essen verzeichnet. Weitere Informationen finden Sie gegebenenfalls auch auf den persönlichen Webseiten der Person.

    Artikel in Zeitschriften

  • Schmitz, Kerstin; Wittbold, Petra
    Entropy solutions for time-fractional porous medium type equations
    In: Differential and Integral Equations, Jg. 37, 2024, Nr. 5-6, S. 309 – 322
    DOI, Online Volltext (Open Access)
  • Wittbold, Petra; Wolejko, Patryk; Zacher, Rico
    Bounded weak solutions of time-fractional porous medium type and more general nonlinear and degenerate evolutionary integro-differential equations
    In: Journal of Mathematical Analysis and Applications, Jg. 499, 2021, Nr. 1, 125007
    DOI, Online Volltext (Open Access)
  • Grossekemper, Niklas; Wittbold, Petra; Zimmermann, Aleksandra
    Entropy Solutions of Doubly Nonlinear Fractional Laplace Equations
    In: Results in Mathematics, Jg. 76, 2021, Nr. 4, 195
    DOI (Open Access)
  • Simsen, Jacson; Simsen, Mariza Stefanello; Wittbold, Petra
    Reaction-diffusion coupled inclusions with variable exponents and large diffusion
    In: Opuscula Mathematica, Jg. 41, 2021, Nr. 4, S. 539 – 570
    DOI (Open Access)
  • Kloeden, Peter E.; Simsen, Jacson; Wittbold, Petra
    Asymptotic behavior of coupled inclusions with variable exponents
    In: Communications on Pure and Applied Analysis (CPAA), Jg. 19, 2020, Nr. 2, S. 1001 – 1016
    DOI
  • Simsen, Jacson; Wittbold, Petra
    Compactness results with applications for nonautonomous coupled inclusions
    In: Journal of Mathematical Analysis and Applications, Jg. 479, 2019, Nr. 1, S. 426 – 449
    DOI (Open Access)
  • Sapountzoglou, Niklas; Wittbold, Petra; Zimmermann, Aleksandra
    On a doubly nonlinear PDE with stochastic perturbation
    In: Stochastics and Partial Differential Equations: Analysis and Computations, Jg. 7, 2019, Nr. 2, S. 297 – 330
    DOI
  • Scholtes, Martin; Wittbold, Petra
    Existence of entropy solutions to a doubly nonlinear integro-differential equation
    In: Differential and Integral Equations, Jg. 31, 2018, Nr. 5/6, S. 465 – 496
    Online Volltext
  • Vallet, Guy; Wittbold, Petra; Zimmermann, Aleksandra
    On a stochastic evolution equation with random growth conditions
    In: Stochastics and Partial Differential Equations: Analysis and Computations, Jg. 4, 2016, Nr. 2, S. 246 – 273
    DOI
  • Bauzet, Caroline; Vallet, Guy; Wittbold, Petra
    A degenerate parabolic–hyperbolic Cauchy problem with a stochastic force
    In: Journal of Hyperbolic Differential Equations (JHDE), Jg. 12, 2015, Nr. 3, S. 501 – 533
    DOI, Online Volltext (Open Access)
  • Gwiazda, Piotr; Wittbold, Petra; Wroblewska-Kaminska, Aneta; Zimmermann, Aleksandra
    Renormalized solutions to nonlinear parabolic problems in generalized Musielak–Orlicz spaces
    In: Nonlinear Analysis: Theory, Methods & Applications, Jg. 129, 2015, S. 1 – 36
    DOI
  • Gwiazda, Piotr; Swierczewska-Gwiazda, Agnieszka; Wittbold, Petra; Zimmermann, Aleksandra
    Multi-dimensional scalar balance laws with discontinuous flux
    In: Journal of Functional Analysis, Jg. 267, 2014, Nr. 8, S. 2846 – 2883
    DOI
  • Bauzet, Caroline; Vallet, Guy; Wittbold, Petra
    The Dirichlet problem for a conservation law with a multiplicative stochastic perturbation
    In: Journal of Functional Analysis, Jg. 266, 2014, Nr. 4, S. 2503 – 2545
    DOI
  • Bauzet, Caroline; Wittbold, Petra; Zimmermann, Aleksandra; Vallet, Guy
    On a p(t,x)-Laplace evolution equation with a stochastic force
    In: Stochastics and Partial Differential Equations: Analysis and Computations, Jg. 1, 2013, Nr. 3, S. 552 – 570
    DOI
  • Bothe, Dieter; Wittbold, Petra
    Abstract reaction-diffusion systems with m-completely accretive diffusion operators and measurable reaction rates
    In: Communications on Pure and Applied Analysis (CPAA), Jg. 11, 2012, Nr. 6, S. 2239 – 2260
    DOI
  • Andreianov, Boris; Wittbold, Petra
    Convergence of approximate solutions to an elliptic–parabolic equation without the structure condition
    In: Nonlinear Differential Equations and Applications (NoDEA), Jg. 19, 2012, Nr. 6, S. 695 – 717
    DOI
  • Gwiazda, Piotr; Wittbold, Petra; Wroblewska-Kaminska, Aneta; Zimmermann, Aleksandra
    Corrigendum to “Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces” [J. Differential Equations 253 (2) (2012) 635–666]
    In: Journal of Differential Equations, Jg. 253, 2012, Nr. 9, S. 2734 – 2738
    DOI
  • Gwiazda, Piotr; Wittbold, Petra; Wroblewska, Aneta; Zimmermann, Aleksandra
    Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces
    In: Journal of Differential Equations, Jg. 253, 2012, Nr. 2, S. 635 – 666
    DOI
  • Bauzet, Caroline; Vallet, Guy; Wittbold, Petra
    The Cauchy problem for conservation laws with a multiplicative stochastic perturbation
    In: Journal of Hyperbolic Differential Equations (JHDE), Jg. 9, 2012, Nr. 4, S. 661 – 709
    DOI
  • Wittbold, Petra; Zimmermann, Aleksandra
    Existence and uniqueness of renormalized solutions to nonlinear elliptic equations with variable exponents and L1-data
    In: Nonlinear Analysis: Theory, Methods & Applications, Jg. 72, 2010, Nr. 6, S. 2990 – 3008
    DOI
  • Igbida, Noureddine; Sbihi, Karima; Wittbold, Petra
    Renormalized solution for Stefan type problems : existence and uniqueness
    In: Nonlinear Differential Equations and Applications (NoDEA), Jg. 17, 2010, Nr. 1, S. 69 – 93
    DOI
  • Bendahmane, Mostafa; Wittbold, Petra; Zimmermann, Aleksandra
    Renormalized solutions for a nonlinear parabolic equation with variable exponents and L¹-data
    In: Journal of Differential Equations, Jg. 249, 2010, Nr. 6, S. 1483 – 1515
    DOI (Open Access)
  • Vallet, Guy; Wittbold, Petra
    On a stochastic first-order hyperbolic equation in a bounded domain
    In: Infinite dimensional analysis, quantum probability and related topics, Jg. 12, 2009, Nr. 4, S. 613 – 651
    DOI
  • Bendahmane, Mostafa; Wittbold, Petra
    Renormalized solutions for nonlinear elliptic equations with variable exponents and L1 data
    In: Nonlinear analysis : theory, methods & applications, Jg. 70, 2009, Nr. 2, S. 567 – 583
    DOI
  • Ammar, Kaouther; Wittbold, Petra
    On a degenerate scalar conservation law with general boundary condition
    In: Differential integral equations, Jg. 21, 2008, Nr. 3-4, S. 363 – 386
  • Andreianov, Boris; Sbihi, Karima; Wittbold, Petra
    On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption
    In: Journal of evolution equations, Jg. 8, 2008, Nr. 3, S. 449 – 490
    DOI
  • Sbihi, Karima; Wittbold, Petra
    Existence de solutions renormalisees pour un probleme de Stefan non lineaire = Existence of renormalized solutions for a nonlinear Stefan problem
    In: Comptes Rendus Mathematique, Jg. 345, 2007, Nr. 11, S. 629 – 632
    DOI
  • Ammar, Kaouther; Wittbold, Petra; Carrillo, Jose
    Scalar conservation laws with general boundary condition and continuous flux function
    In: Journal of differential equations, Jg. 228, 2006, Nr. 1, S. 111 – 139
    DOI
  • Ammar, Kaouther; Wittbold, Petra
    Quasi-linear parabolic problems in L1 with non homogeneous conditions on the boundary
    In: Journal of evolution equations, Jg. 5, 2005, Nr. 1, S. 1 – 33
    DOI
  • Andreianov, Boris A.; Gutnic, Michael; Wittbold, Petra
    Convergence of finite volume approximations for a nonlinear elliptic-parabolic problem: : a "continuous'' approach
    In: SIAM journal on numerical analysis, Jg. 42, 2004, Nr. 1, S. 228 – 251
    DOI
  • Jakubowski, Volker G.; Wittbold, Petra
    On a nonlinear elliptic-parabolic integro-differential equation with L1-data
    In: Journal of differential equations, Jg. 197, 2004, Nr. 2, S. 427 – 445
    DOI
  • Ammar, Kaouther; Wittbold, Petra
    Existence of renormalized solutions of degenerate elliptic-parabolic problems
    In: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, Jg. 133, 2003, Nr. 3, S. 477 – 496
    DOI
  • Jakubowski, Volker G.; Wittbold, Petra
    Regularity of solutions of nonlinear Volterra equations
    In: Journal of evolution equations, Jg. 3, 2003, Nr. 2, S. 303 – 319
    DOI
  • Carrillo, Jose; Wittbold, Petra
    Renormalized entropy solutions of scalar conservation laws with boundary condition
    In: Journal of differential equations, Jg. 185, 2002, Nr. 1, S. 137 – 160
    DOI
  • Andreianov, Boris P.; Gutnic, Michael; Wittbold, Petra
    L’approche « continue » pour une méthode de volumes finis
    In: Comptes rendus de l'Académie des Sciences : Série 1, Mathématique = Mathematics, Jg. 332, 2001, Nr. 5, S. 477 – 482
    DOI
  • Benilan, Philippe; Carrillo, Jose; Wittbold, Petra
    Renormalized entropy solutions of scalar conservation laws
    In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze : 4. ser., Jg. 29, 2000, Nr. 2, S. 313 – 327
  • Benilan, Philippe; Wittbold, Petra
    Sur un probleme parabolique-elliptique
    In: Mathematical modelling and numerical analysis = Modélisation mathématique et analyse numérique, Jg. 33, 1999, Nr. 1, S. 121 – 127
    DOI
  • Carrillo, Jose; Wittbold, Petra
    Unicite des solutions renormalisees de problemes elliptiques-paraboliques = Uniqueness of renormalized solutions of elliptic-parabolic problems
    In: Comptes rendus de l'Académie des Sciences : Série 1, Mathématique = Mathematics, Jg. 328, 1999, Nr. 1, S. 23 – 28
    DOI
  • Carrillo, Jose; Wittbold, Petra
    Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems
    In: Journal of differential equations, Jg. 156, 1999, Nr. 1, S. 93 – 121
    DOI
  • Wittbold, Petra
    Nonlinear diffusion with absorption
    In: Potential Analysis, Jg. 7, 1997, Nr. 1, S. 437 – 465
    DOI
  • Benilan, Philippe; Wittbold, Petra
    On mild and weak solutions of elliptic-parabolic problems
    In: Advances in differential equations, Jg. 1, 1996, Nr. 6, S. 1053 – 1074
  • Wittbold, Petra
    Diffusion non lineaire avec absorption
    In: Comptes rendus de l'Academie des Sciences : série 1, mathématique = mathematics, Jg. 319, 1994, Nr. 7, S. 675 – 678
  • Wittbold, Petra
    Generalized solutions of nonlinear equations with absorption
    In: Comptes rendus de l'Academie des Sciences : série 1, mathématique = mathematics, Jg. 319, 1994, Nr. 6, S. 573 – 577
  • Benilan, Philippe; Wittbold, Petra
    Absorptions non lineaires = Nonlinear absorptions
    In: Journal of functional analysis, Jg. 114, 1993, Nr. 1, S. 59 – 96
    DOI

    • Beiträge in Sammelwerken und Tagungsbänden

  • Vallet, Guy; Wittbold, Petra; Zimmermann, Aleksandra
    On a stochastic p(w,t,x)-Laplace evolution equation
    In: Thirteenth International Conference Zaragoza-Pau on mathematics and its applications / International Conference Zaragoza-Pau on mathematics and its applications ; Jaca, Spain, 15-18 September 2014. Zaragoza: Prensas de la Universidad de Zaragoza, 2016, S. 115 – 124
  • Wittbold, Petra
    Nonlinear diffusion with absorption
    In: Progress in partial differential equations: the Metz surveys 4 / Chipot, Michel (Hrsg.). Harlow, Essex: Longman Scientific & Technical [u.a.], 1996, S. 142 – 157
  • Benilan, Philippe; Wittbold, Petra
    Nonlinear evolution equations in Banach spaces : basic results and open problems
    In: Functional analysis: proceedings of the Essen conference / International Symposium on Functional Analysis, 1991, Essen / Bierstedt, Klaus D.; Pietsch, Albrecht; Ruess, Wolfgang; Vogt, Dietmar (Hrsg.). New York, NY [u.a.]: Dekker, 1994, S. 1 – 32
  • Wittbold, Petra
    Asymptotic behaviour of certain nonlinear evolution equations in L1
    In: Progress in partial differential equations: the Metz surveys 2 / Chipot, M. (Hrsg.). Harlow: Longman Scientific & Technical, 1993, S. 216 – 230