Existence and decay estimates of solutions to complex Ginzburg-Landau type equations

DOI10.1016/j.jde.2015.10.030zbMath1480.35369OpenAlexW1942421168MaRDI QIDQ897830

Tomomi Yokota, Kentarou Yoshii, Daisuke Shimotsuma

Publication date: 7 December 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.10.030

zbMATH Keywords

decay estimates\(L^p-L^q\) estimatescomplex Ginzburg-Landau equations

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ginzburg-Landau equations (35Q56)

Related Items (9)

Stochastic Ginzburg–Landau equation on a half-line driven by the multiplicative noise ⋮ Global existence of a nonlinear Schrödinger equation with viscous damping ⋮ Finite-parameter feedback control for stabilizing the complex Ginzburg-Landau equation ⋮ Weighted estimates and large time behavior of small amplitude solutions to the semilinear heat equation ⋮ Complex Ginzburg-Landau equations with dynamic boundary conditions ⋮ Local well-posedness of the complex Ginzburg-Landau equation in bounded domains ⋮ Regularity Analysis for Stochastic Complex Landau--Ginzburg Equation with Dirichlet White-Noise Boundary Conditions ⋮ Stochastic Ginzburg-Landau equation on a half-line with Neumann type white-noise boundary conditions ⋮ Stochastic Landau–Ginzburg equation with white-noise boundary conditions of Robin type

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