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Viscosity solutions for elliptic-parabolic problems
被引：0
作者：
Paola Mannucci
Juan Luis Vazquez
机构：
[1] Università degli Studi di Padova,Dipartimento di Matematica Pura e Applicata
[2] Universidad Autónoma de Madrid,Departamento de Matemáticas
来源：
Nonlinear Differential Equations and Applications NoDEA
|
2007年
/
14卷
关键词：
35D05;
35K65;
35R35;
viscosity solution;
elliptic-parabolic problems;
free boundary problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study an elliptic-parabolic problem appearing in the theory of partially saturated flows in the framework of viscosity solutions. This is part of current investigation to understand the theory of viscosity solutions for PDE problems involving free boundaries. We prove that the problem is well posed in the viscosity setting and compare the results with the weak theory. Dirichlet or Neumann boundary conditions are considered.
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页码：75 / 90
页数：15
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