Ein nichtlinearer Interpolationssatz und seine Anwendung auf nichtlineare Wellengleichungen

DOI10.1007/BF01175610zbMath0384.35039OpenAlexW2021037155MaRDI QIDQ1248908

Hartmut Pecher

Publication date: 1978

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172684

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Wave equation (35L05)

Related Items (17)

Semi-linear wave equations ⋮ Regularity of solutions of critical and subcritical nonlinear wave equations ⋮ Interpolation of linear operators ⋮ Unnamed Item ⋮ Soliton resolution for the energy-critical nonlinear wave equation in the radial case ⋮ Classical solutions of nonlinear Schrödinger equations in higher dimensions ⋮ Interpolation and partial differential equations ⋮ Global classical solutions of nonlinear wave equations ⋮ Scattering for the critical and localised semilinear wave equation ⋮ Decay and asymptotics for higher dimensional nonlinear wave equations ⋮ The global Cauchy problem for the nonlinear Klein-Gordon equation. II ⋮ Generalized solutions to a semilinear wave equation ⋮ On the existence of global smooth solutions of certain semi-linear hyperbolic equations ⋮ The global Cauchy problem for the critical nonlinear wave equation ⋮ Finite time blowup for high dimensional nonlinear wave systems with bounded smooth nonlinearity ⋮ The global Cauchy problem for the nonlinear Klein-Gordon equation ⋮ On the global Cauchy problem for some nonlinear Schrödinger equations

Cites Work

• Unnamed Item
• Unnamed Item
• On \(L_2-L_{p'}\) estimates for the wave-equation
• \(L^p\)-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen. II
• Klassische Lösungen nichtlinearer Wellengleichungen im Großen
• Interpolation non linéaire et régularité
• Spaces of distributions of Besov type on Euclidean n-space. Duality, interpolation

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