Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case (Q5206197)

scientific article; zbMATH DE number 7144495

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English	Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case	scientific article; zbMATH DE number 7144495

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instance of

scholarly article

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title

Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case (English)

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Proceedings of the American Mathematical Society

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publication date

18 December 2019

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full work available at URL

https://arxiv.org/abs/1708.08044

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zbMATH Keywords

small data global well-posedness

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energy-subcritical wave equations

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overdamping

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MaRDI profile type

MaRDI publication profile

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cites work

The threshold of effective damping for semilinear wave equations

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A modified test function method for damped waves

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Semi-linear wave equations with effective damping

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A shift in the strauss exponent for semilinear wave equations with a not effective damping

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Q5547841

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Finite time blowup of solutions to the nonlinear Schrödinger equation without gauge invariance

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Estimates of Lifespan and Blow-up Rates for the Wave Equation with a Time-dependent Damping and a Power-type Nonlinearity

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The global Cauchy problem for the nonlinear Klein-Gordon equation. II

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Damped wave equation with super critical nonlinearities.

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Some non-existence results for the semilinear Schrödinger equation without gauge invariance

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Q2966368

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The sharp estimate of the lifespan for semilinear wave equation with time-dependent damping.

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\(L^p\)-\(L^q\) estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data

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The Cauchy problem for the nonlinear damped wave equation with slowly decaying data

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Lifespan of solutions to the damped wave equation with a critical nonlinearity

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Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data

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A note on the lifespan of solutions to the semilinear damped wave equation

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Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data

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Cauchy problem for a semilinear wave equation. II

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Endpoint Strichartz estimates

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Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

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Blowup behaviour for the nonlinear Klein-Gordon equation

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Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent

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Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case

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Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\)

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Critical exponent for the semilinear wave equation with time-dependent damping

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Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations

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From nonlinear Klein-Gordon equation to a system of coupled nonlinear Schrödinger equations

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\(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application

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Critical exponent for a nonlinear wave equation with damping

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The lifespan of solutions to semilinear damped wave equations in one space dimension

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Fourier analysis. Pseudo-differential operators, time-frequency analysis and partial differential equation. Based on the presentations at the international conference, Aalto University, near Helsinki, Finland, June 25--29, 2012

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Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients

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Wave equations with time-dependent dissipation. II: Effective dissipation

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Finite time blow up for critical wave equations in high dimensions

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A blow-up result for a nonlinear wave equation with damping: The critical case

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Blow up of solutions to semilinear wave equations with critical exponent in high dimensions

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Identifiers

zbMATH Open document ID

1450.35174

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5206197