On Temperate Distributions Decaying at Infinity

DOI10.1007/978-3-319-51911-1_1zbMath1390.35451OpenAlexW2611354700MaRDI QIDQ4607770

Alessia Ascanelli, Sandro Coriasco, André Süss

Publication date: 14 March 2018

Published in: Generalized Functions and Fourier Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51911-1_1

zbMATH Keywords

weighted Sobolev spacetopological vector spaceFourier integral operatorphase functionmapping property

Mathematics Subject Classification ID

Fourier integral operators applied to PDEs (35S30)

Related Items (5)

Random-field solutions to linear hyperbolic stochastic partial differential equations with variable coefficients ⋮ Random-field solutions of linear parabolic stochastic partial differential equations with polynomially bounded variable coefficients ⋮ Random-field solutions of weakly hyperbolic stochastic partial differential equations with polynomially bounded coefficients ⋮ Solutions of hyperbolic stochastic PDEs on bounded and unbounded domains ⋮ Solution theory to semilinear hyperbolic stochastic partial differential equations with polynomially bounded coefficients

Cites Work

• Fourier integral operators algebra and fundamental solutions to hyperbolic systems with polynomially bounded coefficients on \(\mathbb R^n\)
• Pseudo-differential operators, singularities, applications
• Operatori pseudo-differenziali in R\(^n\) e applicazioni
• Global wave-front sets of Banach, Fréchet and modulation space types, and pseudo-differential operators
• Solution theory to semilinear hyperbolic stochastic partial differential equations with polynomially bounded coefficients
• Global $L^p$ continuity of Fourier integral operators
• Global L ²-Boundedness Theorems for a Class of Fourier Integral Operators
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