Fourier integral operators of infinite order on \({\mathcal D}_{L^2}^{\{\sigma\}}({\mathcal D}_{L^2}^{\{\sigma\}'})\) with an application to a certain Cauchy problem
From MaRDI portal
Publication:1174515
zbMath0737.35172MaRDI QIDQ1174515
Publication date: 25 June 1992
Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=RSMUP_1990__84__71_0
Fourier integral operators applied to PDEs (35S30) Initial value problems for PDEs with pseudodifferential operators (35S10)
Related Items (1)
Propagation of analytic and Gevrey regularity for a class of semi-linear weakly hyperbolic equations
Cites Work
- Pseudo-differential operators of infinite order on \({\mathcal D}_{L^2}^{\{\sigma\}}({\mathcal D}_{L^2}^{\{\sigma\}'})\) and applications to the Cauchy problem for some elementary operators
- Microhyperbolic operators in Gevrey classes
- Fourier integral operators in Gevrey class on \({\mathbb{R}}^ n\) and the fundamental solution for a hyperbolic operator
- Propagation of wave front sets of solutions of the Cauchy problem for hyperbolic equations in Gevrey classes
- Parametrix of infinite order on Gevrey spaces to the Cauchy problem for hyperbolic operators with one constant multiple characteristic
- Fundamental solution of Cauchy problem for hyperbolic systems and Gevrey class
- Fourier integral operators of infinite order on Gevrey spaces. Applications to the Cauchy problem for certain hyperbolic operators
- Opérateurs pseudodif[facuteerentiels et classes de gevrey]
- Pseudo differential operators with multiple characteristics and gevrey singularities
- Pseudodifferential operators of infinite order and Gevrey classes
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Fourier integral operators of infinite order on \({\mathcal D}_{L^2}^{\{\sigma\}}({\mathcal D}_{L^2}^{\{\sigma\}'})\) with an application to a certain Cauchy problem
