The first boundary-value problem for strongly elliptic functional-differential equations with orthotropic contractions

DOI10.1134/S0001434615050090zbMath1322.35156MaRDI QIDQ745612

A. L. Tasevich, Leonid E. Rossovskii

Publication date: 14 October 2015

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

zbMATH Keywords

Fourier transformdifference operatorRiesz theoremfirst boundary-value problemPlancherel's theoremGårding-type inequalitystrong ellipticity conditionorthotropic contractionstrong elliptic functional-differential equation

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Partial functional-differential equations (35R10) Applications of operator theory to differential and integral equations (47N20)

Related Items (8)

Regularity of solutions to the Robin problem for differential-difference equations ⋮ Functional-differential equations with dilation and symmetry ⋮ On a class of elliptic functional-differential equations with orthotropic contractions-expansions ⋮ Analysis of functional-differential equation with orthotropic contractions ⋮ Unique solvability of a functional-differential equation with orthotropic contractions in weighted spaces ⋮ Smoothness of generalized solutions of the Dirichlet problem for strongly elliptic functional differential equations with orthotropic contractions ⋮ Nonlocal problems and functional-differential equations: theoretical aspects and applications to mathematical modelling ⋮ On a class of functional–differential operators satisfying the Kato conjecture

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