List of publications (accepted or published) since 2010:

(41) Scholtes, Martin; Wittbold, Petra. Existence of Entropy Solutions to a Doubly Nonlinear Integro-Differntial Equation (to appear in Differential and Integral Equations)

 

(40) Vallet, Guy; Wittbold, Petra; Zimmermann, Aleksandra. On a stochastic p(w,t,x)-Laplace equation. Monografías Matemáticas García de Galdeano, no.40 (2015), 115-124

 

(39) Vallet, Guy; Wittbold, Petra; Zimmermann, Aleksandra. On a stochastic evolution equation with random growth conditions. (to appear in Stochastic partial differential equations) 

 

(38) Gwiazda, Piotr; Wroblewska-Kaminska, Aneta; Wittbold, Petra; Zimmermann, Aleksandra. Renormalized solutions to nonlinear parabolic problems in generalized Musielak-Orlicz spaces. Nonlinear Analysis 129 (2015), 1-36

(37)  Gwiazda, Piotr; Swierczewska-Gwiazda, Agnieszka; Wittbold, Petra; Zimmermann, Aleksandra. Multi-dimensional scalar balance laws with discontinuous flux, J. Functional Analysis 267 (2014), no. 8, 2846-2883

 

(36) Bauzet, Caroline; Vallet, Guy; Wittbold, Petra. A degenerate parabolic-hyperbolic Cauchy problem with a stochastic force. J. Hyperbolic Differ. Equ. 12 (2015), no.3, 1-33

 

(35) Bauzet, Caroline; Vallet, Guy; Wittbold, Petra. The Dirichlet problem for a conservation law with a multiplicative stochastic perturbation. J. Functional Analysis 266 (2014), no. 4, 2503-2545

 

(34) Bauzet, Caroline; Vallet, Guy; Wittbold, Petra; Zimmermann, Aleksandra. On a p(t, x)-Laplace evolution equation with a stochastic force. Stoch. PDE: Anal. Comp. 1 (2013), 552-570

 

(33) Bauzet, Caroline; Vallet, Guy; Wittbold, Petra. The Cauchy problem for conservation laws with a multiplicative stochastic perturbation. J. Hyperbolic Differ. Equ. 9 (2012), no. 4, 661–709.

 

(32) Andreianov, Boris; Wittbold, Petra. Convergence of approximate solutions to an elliptic-parabolic equation without the structure condition. NoDEA Nonlinear Differential Equations Appl. 19 (2012), no. 6, 695–717.

 

(31) P. Gwiazda, P. Wittbold, A. Wroblewska-Kaminska, A. Zimmermann, Corrigendum to "Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces", J. Differential Equations 253 (2012), 2734-2738

 

(30) Gwiazda, Piotr; Wittbold, Petra; Wróblewska, Aneta; Zimmermann, Aleksandra. Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces. J. Differential Equations 253 (2012), no. 2, 635–666.

 

(29) Bothe, Dieter; Wittbold, Petra. Abstract reaction-diffusion systems with m-completely accretive diffusion operators and measurable reaction rates. Commun. Pure Appl. Anal. 11 (2012), no. 6, 2239–2260.

 

(28) Bendahmane, M.; Wittbold, P.; Zimmermann, A. Renormalized solutions for a nonlinear parabolic equation with variable exponents and L1-data. J. Differential Equations 249 (2010), no. 6, 1483–1515.

 

(27) Igbida, Noureddine; Sbihi, Karima; Wittbold, Petra. Renormalized solution for Stefan type problems: existence and uniqueness. NoDEA Nonlinear Differential Equations Appl. 17 (2010), no. 1, 69–93.

 

(26) Wittbold, P.; Zimmermann, A. Existence and uniqueness of renormalized solutions to nonlinear elliptic equations with variable exponents and L1-data. Nonlinear Anal. 72 (2010), no. 6, 2990–3008.

 

 

 

 

List of publications (accepted or published) before 2010:

 

(25) Vallet, Guy; Wittbold, Petra. On a stochastic first-order hyperbolic equation in a bounded domain. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12 (2009), no. 4, 613–651.

 

(24) Bendahmane, Mostafa; Wittbold, Petra. Renormalized solutions for nonlinear elliptic equations with variable exponents and L1 data. Nonlinear Anal. 70 (2009), no. 2, 567–583.

 

(23) Ammar, Kaouther; Wittbold, Petra. On a degenerate scalar conservation law with general boundary condition. Differential Integral Equations 21 (2008), no. 3-4, 363–386.

 

(22) Andreianov, Boris; Sbihi, Karima; Wittbold, Petra. On uniqueness and existence of entropy solutions for a nonlinear parabolic problem with absorption. J. Evol. Equ. 8 (2008), no. 3, 449–490.

 

(21) Sbihi, Karima; Wittbold, Petra. Existence de solutions renormalisées pour un problème de Stefan non linéaire. (French) [Existence of renormalized solutions for a nonlinear Stefan problem] C. R. Math. Acad. Sci. Paris 345 (2007), no. 11, 629–632.

 

(20) Ammar, Kaouther; Wittbold, Petra; Carrillo, Jose. Scalar conservation laws with general boundary condition and continuous flux function. J. Differential Equations 228 (2006), no. 1, 111–139.

 

(19) Ammar, Kaouther; Wittbold, Petra. Quasi-linear parabolic problems in L1 with non homogeneous conditions on the boundary. J. Evol. Equ. 5 (2005), no. 1, 1–33.

 

(18) Andreianov, Boris A.; Gutnic, Michaël; Wittbold, Petra. Convergence of finite volume approximations for a nonlinear elliptic-parabolic problem: a "continuous'' approach. SIAM J. Numer. Anal. 42 (2004), no. 1, 228–251.

 

(17) Jakubowski, Volker G.; Wittbold, Petra. On a nonlinear elliptic-parabolic integro-differential equation with L1-data. J. Differential Equations 197 (2004), no. 2, 427–445.

 

(16) Ammar, Kaouther; Wittbold, Petra. Existence of renormalized solutions of degenerate elliptic-parabolic problems. Proc. Roy. Soc. Edinburgh Sect. A 133 (2003), no. 3, 477–496.

 

(15) Jakubowski, Volker G.; Wittbold, Petra. Regularity of solutions of nonlinear Volterra equations. J. Evol. Equ. 3 (2003), no. 2, 303–319.

 

(14) Carrillo, Jose; Wittbold, Petra. Renormalized entropy solutions of scalar conservation laws with boundary condition. J. Differential Equations 185 (2002), no. 1, 137–160.

 

(13) Andreianov, Boris P.; Gutnic, Michaël; Wittbold, Petra. L'approche "continue'' pour une méthode de volumes finis. (French) [The "continuous'' approach for a finite volume method] C. R. Acad. Sci. Paris Sér. I Math. 332 (2001), no. 5, 477–482.

 

(12) Bénilan, Philippe; Carrillo, Jose; Wittbold, Petra. Renormalized entropy solutions of scalar conservation laws. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 29 (2000), no. 2, 313–327.

 

(11) Carrillo, José; Wittbold, Petra. Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems. J. Differential Equations 156 (1999), no. 1, 93–121.

 

(10)Benilan, Philippe; Wittbold, Petra. Sur un problème parabolique-elliptique. (French) [On a parabolic-elliptic problem] M2AN Math. Model. Numer. Anal. 33 (1999), no. 1, 121–127.

 

(9) Carrillo, José; Wittbold, Petra: Unicité des solutions renormalisées de problèmes elliptiques-paraboliques. (French) [Uniqueness of renormalized solutions of elliptic-parabolic problems] C. R. Acad. Sci. Paris Sér. I Math. 328 (1999), no. 1, 23–28.

 

(8) Wittbold, Petra. Nonlinear diffusion with absorption. Potential Anal. 7 (1997), no. 1, 437–465.

 

(7) Benilan, Philippe; Wittbold, Petra. On mild and weak solutions of elliptic-parabolic problems. Adv. Differential Equations 1 (1996), no. 6, 1053–1073.

 

(6) Wittbold, P. Nonlinear diffusion with absorption. Progress in partial differential equations: the Metz surveys, 4, 142–157, Pitman Res. Notes Math. Ser., 345, Longman, Harlow, 1996.

 

(5) Wittbold, Petra. Diffusion non linéaire avec absorption. (French) [Nonlinear diffusion with absorption] C. R. Acad. Sci. Paris Sér. I Math. 319 (1994), no. 7, 675–678.

 

(4) Wittbold, Petra. Generalized solutions of nonlinear equations with absorption. C. R. Acad. Sci. Paris Sér. I Math. 319 (1994), no. 6, 573–577.

 

(3) Bénilan, Philippe; Wittbold, Petra. Nonlinear evolution equations in Banach spaces: basic results and open problems. Functional analysis (Essen, 1991), 1–32, Lecture Notes in Pure and Appl. Math., 150, Dekker, New York, 1994.

 

(2) Wittbold, P. Asymptotic behaviour of certain nonlinear evolution equations in L1. Progress in partial differential equations: the Metz surveys, 2 (1992), 216–230, Pitman Res. Notes Math. Ser., 296, Longman Sci. Tech., Harlow, 1993.

 

(1) Bénilan, Philippe; Wittbold, Petra. Absorptions non linéaires. (French) [Nonlinear absorptions] J. Funct. Anal. 114 (1993), no. 1, 59–96.

 

 

AMS Citation Index: 456 times by 275 authors (February 2017)