Global versions of the Gagliardo-Nirenberg-Sobolev inequality and applications to wave and Klein-Gordon equations

DOI10.1090/TRAN/8277zbMath1455.35003arXiv1903.12129OpenAlexW2924431875MaRDI QIDQ5143143

Leonardo Abbrescia, Willie Wai Yeung Wong

Publication date: 11 January 2021

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

Full work available at URL: https://arxiv.org/abs/1903.12129

zbMATH Keywords

vector field methodenergy hierarchyhyperboloidal foliationspace-time weighted versions of the Gagliardo-Nirenberg interpolation inequalitywave and Klein-Gordon equations

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Global stability of some totally geodesic wave maps

Cites Work

• GLOBAL NEARLY-PLANE-SYMMETRIC SOLUTIONS TO THE MEMBRANE EQUATION
• The Hyperboloidal Foliation Method
• Unnamed Item

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