Space of initial data for the second boundary-value problem for a parabolic differential-difference equation in Lipschitz domains

DOI10.1134/S0001434613090150zbMath1284.35213WikidataQ115253909 ScholiaQ115253909MaRDI QIDQ2436379

A. M. Selitskii

Publication date: 24 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

strong solutionanalytic semigroupstrongly elliptic operator

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Discrete version of topics in analysis (39A12) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

Smoothness of solutions to the mixed problem for elliptic differential-difference equation in cylinder ⋮ Regularity of solutions to the Robin problem for differential-difference equations ⋮ The Kato conjecture for elliptic differential-difference operators with degeneration in a cylinder ⋮ ON SOLVABILITY OF PARABOLIC FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES (II) ⋮ The first boundary-value problem for strongly elliptic functional-differential equations with orthotropic contractions ⋮ On a class of functional–differential operators satisfying the Kato conjecture

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• On the Comparability of A 1/2 and A ∗ 1/2

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