A maximum principle for semilinear parabolic systems and applications

Nonlinear Analysis, Theory, Methods and Applications

Volumn 45, Issue 7, 2001, Pages 825-837

  Dickstein, Flávio ^a   Escobedo, Miguel ^b  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

Author keywords

Blow up; Comparison principles; Non Lipschitz; System of reaction diffusion equations

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; DIFFUSION; MATHEMATICAL MODELS; THEOREM PROVING;

REACTION-DIFFUSION EQUATIONS; SEMILINEAR PARABOLIC SYSTEMS;

NONLINEAR EQUATIONS;

EID: 0035452748     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00419-8     Document Type: Article

References (13)

1. A semilinear diffusion problem with concave-convex nonlinearity
2. Global existence and blow-up for a nonlinear reaction-diffusion system
3. Boundedness and blow up for a semilinear reaction-diffusion system
4. A semilinear parabolic system in a bounded domain
5. Fujita type exponents for reaction-diffusion systems
6. A single point blow-up for solutions of semilinear parabolic systems
7. On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations
8. On the uniqueness and non-uniqueness of solutions of initial value problems for some quasi-linear parabolic equations
9. A parabolic system of quasilinear equations I
10. A parabolic system of quasilinear equations II
11. A Fujita type global existence-global nonexistence theorem for a weakly coupled system of reaction-diffusion equations
12. Maximum principles and comparison theorems for semilinear parabolic systems and their applications
13. On nonlinear reaction-diffusion systems