Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions

Mathematical and Computer Modelling

Volumn 32, Issue 11-13, 2000, Pages 1333-1344

  Carl, S ^a,b   Heikkila S ^a,b  

^a MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

^b UNIVERSITY OF OULU   (Finland)

Author keywords

Discontinuous nonlinearities; Extremal solutions; Nonlocal and discontinuous boundary conditions; Pseudomonotone operators; Quasilinear parabolic equations; Truncation and comparison techniques; Upper and lower solutions

Indexed keywords

EID: 0033744131     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(00)00208-9     Document Type: Article

References (15)

1. Extensions of a property of heat equation to linear thermoelasticity and other theories
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3. On the Caratheodory conditions
4. A criterion for the existence of solutions of nonlinear elliptic boundary value problems
5. Nonlinear parabolic boundary value problems with upper and lower solutions
6. Topological degree for perturbations of linear maximal monotone mappings and applications to a class of parabolic problems
7. Monotonicity methods for nonlinear evolution equations
8. On the existence of extremal weak solutions for a class of quasilinear parabolic problems
9. Extremal solutions of quasilinear parabolic boundary value problems with discontinuous nonlinearities
10. Existence of extremal periodic solutions for quasilinear parabolic equations