×

zbMATH — the first resource for mathematics

A class of nonlinear singular perturbed diffraction reaction diffusion systems. (English) Zbl 1112.35303
Summary: The singular perturbed initial boundary value problem for the diffraction reaction diffusion system is considered. Using the comparison principle, the existence, uniqueness and its asymptotic behavior of solution for the problem are studied.
MSC:
35B25 Singular perturbations in context of PDEs
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
35K57 Reaction-diffusion equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
PDF BibTeX XML Cite