Estimates for evolutionary partial differential equations in classical function spaces
DOI10.1017/FMS.2023.76zbMath1523.42022OpenAlexW4386373112MaRDI QIDQ6080288
Anders Israelsson, Madi Yerlanov, Alejandro J. Castro, Wolfgang Staubach
Publication date: 2 October 2023
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/fms.2023.76
quasi-Banach spacesCauchy problem for variable-coefficient evolutionary partial differential equations
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) One-parameter semigroups and linear evolution equations (47D06) Initial value problems for linear higher-order PDEs (35G10) Fourier integral operators applied to PDEs (35S30) Schrödinger and Feynman-Kac semigroups (47D08) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Harmonic analysis and PDEs (42B37)
Cites Work
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- Sharp \(L^p\) estimates for Schrödinger groups
- A Seeger-Sogge-Stein theorem for bilinear Fourier integral operators
- Time-frequency analysis of Fourier integral operators
- \(L^p\) estimates for the waves equation
- Regularity properties of Fourier integral operators
- On spaces of Triebel-Lizorkin type
- A local version of real Hardy spaces
- Transference of local to global \(L^{2}\) maximal estimates for dispersive partial differential equations
- Wiener algebras of Fourier integral operators
- Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces
- Fourier integral operators. I
- \(H^p\) spaces of several variables
- A note on spherical summation multipliers
- Global and local regularity of Fourier integral operators on weighted and unweighted spaces
- On the boundedness of certain bilinear oscillatory integral operators
- On the boundedness of integral transformations with highly oscillatory kernels
- Extensions of Hardy spaces and their use in analysis
- 𝐿^{𝑝} boundedness of Fourier integral operators
- Gabor Analysis for Schrödinger Equations and Propagation of Singularities
- Boundedness of Fourier integral operators on classical function spaces
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