Obstacle problem of a nonlinear anisotropic parabolic equation

被引：0
作者：
Hamid El Bahja
机构：
[1] Mohammed V University,Laboratory of Mathematical Analysis and Applications, Department of Mathematics, Faculty of Sciences
来源：
Ricerche di Matematica | 2023年 / 72卷
关键词：
Anisotropic parabolic problems; Obstacle problem; Minimizing movements; 35K86; 35K20; 49J40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For sufficiently regular obstacles, we prove existence and uniqueness results for the obstacle problem related to an anisotropic parabolic equation.
引用
收藏
页码：625 / 651
页数：26
相关论文
共 52 条
  • [1] Acerbi E(1994)Partial regularity under anisotropic (p, q) growth conditions J. Differ. Equ. 107 46-67
  • [2] Fusco N(1983)Quasilinear elliptic-parabolic differential equations Math. Z. 183 311-341
  • [3] Alt H(2006)Renormalized solutions of an anisotropic reaction-diffusion-advection system with L1 data Commun. Pure Appl. Anal. 5 733-762
  • [4] Luckhaus S(2003)On some anisotropic reaction-difusion systems with L1-data modeling the propagation of an epidemic disease Nonlinear Anal. 54 617-636
  • [5] Bendahmane M(2012)Higher integrability in parabolic obstacle problems Forum Math. 24 931-972
  • [6] Karlsen KH(2011)Degenerate problems with irregular obstacles J. Reine Angew. Math. 650 107-160
  • [7] Bendahmane M(2014)Existence of evolutionary variational solutions via the calculus of variations J. Differ. Equ. 256 3912-3942
  • [8] Langlais M(2015)The obstacle problem for the porous medium equation Math. Ann. 363 455-499
  • [9] Saad M(2017)The obstacle problem for parabolic minimizers J. Evol. Equ. 17 1273-1310
  • [10] Bögelein V(1972)Problèmes unilatéraux J. Math. Pures Appl. (9) 51 1-168
123456