Generation of semigroups for vector-valued pseudodifferential operators on the torus

DOI10.1007/s00041-015-9437-7zbMath1349.35444arXiv1504.04473OpenAlexW1923183927MaRDI QIDQ305678

F. Blanchet-Sadri, M. Dambrine

Publication date: 30 August 2016

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04473

zbMATH Keywords

Cauchy problemanalytic semigroup of operatorsparabolic operatorstoroidal pseudodifferential operatorsvector valued Besov and Sobolev spaces

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Initial value problems for PDEs with pseudodifferential operators (35S10) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (6)

The nuclear trace of periodic vector‐valued pseudo‐differential operators with applications to index theory ⋮ L ^p -bounds for Fourier integral operators on the torus ⋮ Periodic coherent states decomposition and quantum dynamics on the flat torus ⋮ Hölder-Besov boundedness for periodic pseudo-differential operators ⋮ Mapping properties for operator-valued pseudodifferential operators on toroidal Besov spaces ⋮ Fundamental solutions and decay rates for evolution problems on the torus \(\mathbb{T}^n\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pseudodifferential operators with non-regular operator-valued symbols
• Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \({{\mathbb S}^1}\)
• Abstract elliptic and parabolic systems with applications to problems in cylindrical domains
• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
• Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces
• A family of Fourier integral operators and the fundamental solution for a Schrödinger equation
• On elliptic systems in \(L^ 1\)
• On symbol analysis of periodic pseudodifferential operators
• Operator-valued Fourier multiplier theorems on \(L_p\)-spaces on \(\mathbb{T}^d\)
• \(H^\infty\)-calculus for cylindrical boundary value problems
• Commutator characterization of periodic pseudodifferential operators
• Weak type (1,1) bounds for a class of periodic pseudo-differential operators
• Maximal \(L_p\)-regularity of non-local boundary value problems
• Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion
• Fourier Analysis and Nonlinear Partial Differential Equations
• Discrete Fourier Analysis
• Local and Global Descriptions of Periodic Pseudodifferential Operators
• On the Toroidal Quantization of Periodic Pseudo-Differential Operators
• On the Fourier Analysis of Operators on the Torus
• Pseudo-Differential Operators and Symmetries
• The fourier series representation of pseudo-differentiai operators on closed curves
• On a theory of pseudo-differential operators on the circle
• Characterizations of pseudodifferential operators on the circle
• Operator-Valued Fourier Multipliers, Vector - Valued Besov Spaces, and Applications
• OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS
• L p -bounds for Pseudo-differential Operators on the Torus
• Discrete Fourier multipliers and cylindrical boundary-value problems
• Analytic semigroups and optimal regularity in parabolic problems

This page was built for publication: Generation of semigroups for vector-valued pseudodifferential operators on the torus