On the growth of the Sobolev norms for the nonlinear Klein-Gordon equation
type: Item
instance of: scholarly article
title: On the growth of the Sobolev norms for the nonlinear Klein-Gordon equation
zbMATH Open document ID: 1464.35049
author: Ademir B. Pampu
published in: Journal of Dynamics and Differential Equations
publication date: 2021-05-14T00:00:00Z
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 35R01
zbMATH DE Number: 7348194
zbMATH Keywords: semilinear Klein-Gordon equation
zbMATH Keywords: growth of Sobolev norms
zbMATH Keywords: Strichartz estimates
zbMATH Keywords: low to high frequency energy
MaRDI profile type: Publication
full work available at URL: s10884-020-09832-9
OpenAlex ID: W3007312921
Wikidata QID: Q115383410
cites work: The global Cauchy problem for the nonlinear Klein-Gordon equation
cites work: The global Cauchy problem for the nonlinear Klein-Gordon equation. II
cites work: Q4880973
cites work: On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations
cites work: Quadratic forms for a 2-D semilinear Schrödinger equation
cites work: Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation
cites work: Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schrödinger equations
cites work: The growth in time of higher Sobolev norms of solutions to Schrödinger equations on compact Riemannian manifolds
cites work: On growth of Sobolev norms in linear Schrödinger equations with smooth time dependent potential
cites work: On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds
cites work: Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
cites work: Stabilization and control for the subcritical semilinear wave equation
cites work: Stabilization for the semilinear wave equation with geometric control condition
cites work: On the Critical Semilinear Wave Equation Outside Convex Obstacles
cites work: Global existence for energy critical waves in 3-d domains
cites work: Q3357618
cites work: Strichartz estimates for the wave equation on manifolds with boundary
DOI: 10.1007/S10884-020-09832-9
Recommended article: On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations
Recommended article: On growth in time of Sobolev norms of smooth solutions of nonlinear Schrödinger equations in \(\mathbb{R}^D\)
Recommended article: Growth-in-time of higher Sobolev norms of solutions to the 1D Dirac–Klein–Gordon system
Recommended article: Growth of Sobolev norms for abstract linear Schrödinger equations
Recommended article: Growth of Sobolev norms for the Maxwell–Dirac and Dirac–Klein–Gordon systems in R 1 + 1
Recommended article: Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation
Recommended article: Bounds on the growth of high Sobolev norms of solutions to nonlinear Schroedinger equations on $\mathbb{R}$
Recommended article: Growth of Sobolev norms in the cubic nonlinear Schrödinger equation with a convolution potential
Recommended article: On growth of Sobolev norms in time dependent linear Schrödinger equations on spheres
Recommended article: Bounds on the growth of high Sobolev norms of solutions to nonlinear Schrödinger equations on \(S^1\).
description: scientific article; zbMATH DE number 7348194