Pseudodifferential Multi-Product Representation of the Solution Operator of a Parabolic Equation

DOI10.1080/03605300903017330zbMath1387.35647arXiv0801.3838OpenAlexW3102169095MaRDI QIDQ3643208

Hiroshi Isozaki, Jérôme H. Le Rousseau

Publication date: 10 November 2009

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3838

zbMATH Keywords

parabolic equationWeyl quantizationcompact manifoldinfinite product of operatorspseudodifferential initial value problem

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Pseudodifferential and Fourier integral operators on manifolds (58J40) Initial value problems for second-order parabolic equations (35K15) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Initial value problems for higher-order parabolic equations (35K30) Pseudodifferential operators (47G30) Initial value problems for PDEs with pseudodifferential operators (35S10) PDEs on manifolds (35R01)

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