Initial value problems for heat equations generated by strongly elliptic \((\rho,\Lambda)\)-pseudo-differential operators on \(\mathbb{R}^n\)

DOI10.1007/s11868-022-00483-6OpenAlexW4297339069WikidataQ115377508 ScholiaQ115377508MaRDI QIDQ2080904

Yaodong Gao, Man-Wah Wong

Publication date: 11 October 2022

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-022-00483-6

zbMATH Keywords

solutions\(L^p\)-boundednessstrong solutionsweak solutionsinitial value problemsmild solutionsGårding's inequalityheat equationspseudo-differential operatorsPoisson's equationsstrongly continuous one-parameter semigroups\((\rho,\Lambda)\)-ellipticityHille-Yosida-Phillips theoremstrong \((\rho,\Lambda)\)-ellipticitysymbols in \(S^m_{\rho, \Lambda}\)

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Pseudodifferential operators (47G30)

Cites Work

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• M ‐elliptic pseudo‐differential operators on L^p(ℝⁿ)

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