Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces

DOI10.2140/apde.2021.14.1zbMath1467.35373arXiv1802.05932OpenAlexW2785905732MaRDI QIDQ2037464

Wolfgang Staubach, Anders Israelsson, Salvador Rodríguez-López

Publication date: 1 July 2021

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.05932

zbMATH Keywords

Triebel-Lizorkin spaceshyperbolic equationsFourier integral operatorsBesov-Lipschitz spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15) Fourier integral operators applied to PDEs (35S30)

Related Items (7)

An \(L^q\rightarrow L^r\) estimate for rough Fourier integral operators and its applications ⋮ Estimates for evolutionary partial differential equations in classical function spaces ⋮ Boundedness of Fourier integral operators on classical function spaces ⋮ Fourier integral operators on \(L^p(\mathbb{R}^n)\) when \(2 < p \leq \infty\) ⋮ Off-singularity bounds and Hardy spaces for Fourier integral operators ⋮ Global boundedness of a class of multilinear Fourier integral operators ⋮ \(L^p\) boundedness of Fourier integral operators with rough symbols

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