Regularity and scattering for the wave equation with a critical nonlinear damping

DOI10.2969/JMSJ/06120625zbMath1180.35363OpenAlexW1966628853MaRDI QIDQ1030026

Davut Uğurlu, Grozdena Todorova, Borislav Yordanov

Publication date: 1 July 2009

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: http://www.jstage.jst.go.jp/article/jmath/61/2/61_625/_article

zbMATH Keywords

regularitywave equationnonlinear dampingradially symmetric Sobolev spacessmoothing and non-concentration estimates

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (4)

Existence of global decaying solutions to the exterior problem for the Klein-Gordon equation with a nonlinear localized dissipation and a derivative nonlinearity ⋮ Energy decay for a nonlinear generalized Klein-Gordon equation in exterior domains with a nonlinear localized dissipative term ⋮ Global regularity for supercritical nonlinear dissipative wave equations in 3D ⋮ On the regularizing effect of nonlinear damping in hyperbolic equations

Cites Work

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• Asymptotic behavior of solutions to semilinear wave equations with dissipative structure
• Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
• Regularity results for nonlinear wave equations
• Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
• Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions
• Spacetimes bounds for the energy-critical nonlinear wave equation in three spatial dimensions
• Large time behavior of solutions to the Klein-Gordon equation with nonlinear dissipative terms
• Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrö\-dinger equation for radial data
• Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1
• Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
• High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
• Space‐time estimates for null forms and the local existence theorem
• Global, small amplitude solutions to nonlinear evolution equations
• Asymptotics for the nonlinear dissipative wave equation
• Some non-linear evolution equations
• Nonlinear hyperbolic smoothing at a focal point

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