LANDAU–GINZBURG TYPE EQUATIONS IN THE SUBCRITICAL CASE
From MaRDI portal
Publication:4807718
DOI10.1142/S0219199703000872zbMath1020.35103OpenAlexW1988446783MaRDI QIDQ4807718
Nakao Hayashi, Pavel I. Naumkin, Elena I. Kaikina
Publication date: 6 October 2003
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219199703000872
Cauchy problemlarge time asymptoticsdecay estimatesdissipative nonlinear evolution equationsnonlinear Landau-Ginzburg equation
Nonlinear parabolic equations (35K55) NLS equations (nonlinear Schrödinger equations) (35Q55) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)
Related Items
Asymptotics in the critical case for Whitham type equations ⋮ Asymptotic behavior of solutions to Schrödinger equations with a subcritical dissipative nonlinearity ⋮ Damped wave equation in the subcritical case ⋮ Subcritical nonlinear nonlocal equations on a half-line ⋮ On a nonlinear equation with fractional derivative ⋮ FRACTIONAL LANDAU–GINZBURG EQUATIONS ON A SEGMENT ⋮ Subcritical nonlinear heat equation
Cites Work
- Large time behavior of the solutions of a semilinear parabolic equation in \(\mathbb R^ n\)
- Existence and non-existence of global solutions for a semilinear heat equation
- On the growing problem for semilinear heat equations
- The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. II: Contraction methods
- The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. I: Compactness methods
- ON ASYMPTOTIC “EIGENFUNCTIONS” OF THE CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION
- Large-time behaviour of solutions to the dissipative nonlinear Schrödinger equation
- On nonexistence of global solutions of some semilinear parabolic differential equations
- Large time behavior of solutions of a dissipative semilnear heat equation
- Perturbation theory for \(m\)-accretive operators and generalized complex Ginzburg-Landau equations.