On Uniqueness for the Critical Wave Equation
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Publication:5491386
DOI10.1080/03605300500358012zbMath1106.35035arXivmath/0603085OpenAlexW2049342316MaRDI QIDQ5491386
Nader Masmoudi, Fabrice Planchon
Publication date: 11 October 2006
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0603085
wave equationuniquenessweak solutionsdefocusing wave equation in 3Dlocal energy inequality condition
Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)
Related Items (8)
Attractors for damped quintic wave equations in bounded domains ⋮ Unconditional uniqueness of solution for \(\dot{H}^{s_c}\) critical NLS in high dimensions ⋮ UNCONDITIONAL WELL-POSEDNESS FOR WAVE MAPS ⋮ Unconditional uniqueness of solution for \(\dot{H}^{s_c}\) critical 4th order NLS in high dimensions ⋮ Scattering for the two-dimensional energy-critical wave equation ⋮ Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions ⋮ Inverse scattering for critical semilinear wave equations ⋮ On the regularizing effect of nonlinear damping in hyperbolic equations
Cites Work
- Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
- Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
- Regularity results for nonlinear wave equations
- On uniqueness for semilinear wave equations
- Uniqueness of finite energy solutions for Maxwell-Dirac and Maxwell-Klein-Gordon equations
- UNIQUENESS OF MILD SOLUTIONS OF THE NAVIER-STOKES SYSTEM IN LN
- High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
- Uniqueness for critical nonlinear wave equations and wave maps via the energy inequality
- Partial regularity of suitable weak solutions of the navier-stokes equations
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