Strongly continuous semigroups of operators generated by systems of pseudodifferential operators in weighted L p -spaces

Autor:	I. E. Egorov, M. G. Gadoev, K. Kh. Boimatov
Rok vydání:	2010
Předmět:	Statistics and Probability Discrete mathematics Mathematics::Operator Algebras Semigroup Applied Mathematics General Mathematics Operator theory Fourier integral operator Elliptic operator Distribution (mathematics) Special classes of semigroups Infinitesimal generator Lp space Mathematics
Zdroj:	Journal of Mathematical Sciences. 166:563-602
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-010-9874-4
Popis:	This paper considers semigroups of operators generated by pseudodifferential operators in weighted L p -spaces of vector functions on $$ {\mathbb{R}^n} $$ (or on a compact manifold without boundary). Sufficient conditions for a semigroup to be strongly continuous and analytic are obtained, conditions for it to be completely continuous are found, and the distribution of the eigenvalues of its infinitesimal generator is examined. Also, an integral representation that singles out the principal term of the semigroup as t → 0+ is established.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cff971dadfbaa6968540d65a259ca1aa https://doi.org/10.1007/s10958-010-9874-4 Zobrazit plný text záznamu Plný text ve formátu PDF