A note on strong instability of standing waves for some semilinear wave and heat equations
From MaRDI portal
Publication:4575318
DOI10.1017/S0305004117000226zbMath1395.35022OpenAlexW2594585779MaRDI QIDQ4575318
Publication date: 13 July 2018
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0305004117000226
Stability in context of PDEs (35B35) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The critical nonlinear wave equation in two space dimensions
- Local well posedness of a 2D semilinear heat equation
- The Cauchy problem for heat equations with exponential nonlinearity
- Global well-posedness of the Cauchy problem for a super-critical nonlinear wave equation in two space dimensions
- Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
- Nonlinear scalar field equations. I: Existence of a ground state
- The global Cauchy problem for the nonlinear Klein-Gordon equation
- Instability of nonlinear bound states
- Existence and non-existence of global solutions for a semilinear heat equation
- Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
- Saddle points and instability of nonlinear hyperbolic equations
- Existence of solitary waves in higher dimensions
- Global solutions in the critical Sobolev space for the wave equations with nonlinearity of exponential growth
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- Strong instability of standing waves for nonlinear Klein-Gordon equations
- A nonlinear heat equation with singular initial data
- Scattering threshold for the focusing nonlinear Klein-Gordon equation
- Global well-posedness and scattering of a 2D Schrödinger equation with exponential growth
- Well- and Ill-posedness Issues for a Class of 2D Wave Equation with Exponential Growth
- Instability for standing waves of nonlinear Klein-Gordon equations via mountain-pass arguments
- Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity
- Semi-linear wave equations
- Perte de régularité pour les équations d’ondes sur-critiques
- Unstable Ground State of Nonlinear Klein-Gordon Equations
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Global well-posedness and linearization of a semilinear 2D wave equation with exponential type nonlinearity
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
- Strong Instability of Standing Waves for the Nonlinear Klein–Gordon Equation and the Klein–Gordon–Zakharov System
This page was built for publication: A note on strong instability of standing waves for some semilinear wave and heat equations
