Some decay-estimates for nonlinear wave equations

DOI10.1016/0022-1236(72)90023-7zbMath0229.35054OpenAlexW2029571999MaRDI QIDQ2550135

Wolf von Wahl

Publication date: 1972

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(72)90023-7

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05)

Related Items (9)

Pointwise decay for semilinear wave equations in \(\mathbb{R}^{1+3}\) ⋮ Existence in the large for \(cmu=F(u)\) in two space dimensions ⋮ Decay and asymptotics for higher dimensional nonlinear wave equations ⋮ Decay of solutions of nonlinear wave equations in three space dimensions ⋮ Stability for second order abstract evolution equations ⋮ On some nonlinear evolution with the strong dissipation ⋮ Blow-up of solutions of nonlinear wave equations in three space dimensions ⋮ Das Verhalten globaler Lösungen nichtlinearer Wellengleichungen für große Zeiten ⋮ Unnamed Item

Cites Work

• Decay and asymptotics for \(\square u = F(u)\)
• On the classical solvability of the Cauchy problem for nonlinear wave equations with small initial values and the asymptotic behavior of the solutions
• Klassische Lösungen nichtlinearer gedämpfter Wellengleichungen im Großen
• \(L^ p\)-decay rates for homogeneous wave-equations
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