Initial-boundary value problems for complex Ginzburg-Landau equations governed by $p$-Laplacian in general domains

Autor:	Kuroda, Takanori, Ôtani, Mitsuharu
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs 35Q56 47J35 35K61
Druh dokumentu:	Working Paper
Popis:	In this paper, complex Ginzburg-Landau (CGL) equations governed by p-Laplacian are studied. We discuss the global existence of solutions for the initial-boundary value problem of the equation in general domains. The global solvability of the initial-boundary value problem for the case when $p = 2$ is already examined by several authors provided that parameters appearing in CGL equations satisfy a suitable condition. Our approach to CGL equations is based on the theory of parabolic equations with non-monotone perturbations. By using this method together with some approximate procedure and a diagonal argument, the global solvability is shown without assuming any growth conditions on the nonlinear terms. Comment: 33 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.04312 Zobrazit plný text záznamu View this record from Arxiv