Decay estimates for a class of wave equations
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Publication:2426486
DOI10.1016/j.jfa.2007.12.010zbMath1145.35032arXiv0802.3167OpenAlexW2093389359MaRDI QIDQ2426486
Zihua Guo, Li Zhong Peng, Bao Xiang Wang
Publication date: 22 April 2008
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.3167
Asymptotic behavior of solutions to PDEs (35B40) Maximal functions, Littlewood-Paley theory (42B25) One-parameter semigroups and linear evolution equations (47D06) Initial value problems for second-order hyperbolic equations (35L15)
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Cites Work
- Unnamed Item
- Unnamed Item
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- Unnamed Item
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- Unnamed Item
- Nonlinear small data scattering for the wave and Klein-Gordon equation
- The global Cauchy problem for the NLS and NLKG with small rough data
- On scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations
- Low energy scttering for nonlinear Klein-Gordon equations
- Nonlinear scattering theory at low energy
- \(L^p\)-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen. I
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Decay estimates for fourth order wave equations
- Scattering of solutions for critical and subcritical nonlinear Klein-Gordon equations in \(H^s\)
- Nonlinear scattering theory for a class of wave equations in \(H^{s}\)
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- Bessel (Riesz) potentials on banach function spaces and their applications I theory
- Endpoint Strichartz estimates
- Dispersion estimates for fourth order Schrödinger equations
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