On Initial Boundary Value Problem for Parabolic Differential Operator with Non-coercive Boundary Conditions

DOI10.17516/1997-1397-2020-13-5-547-558OpenAlexW3097256384MaRDI QIDQ5859251

A. N. Polkovnikov

Publication date: 16 April 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08984

zbMATH Keywords

Faedo-Galerkin methodparabolic problemnon-coercive problem

Mathematics Subject Classification ID

Partial differential equations (35-XX) Elliptic equations and elliptic systems (35Jxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Negative norms and boundary problems
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Spectral decomposition of Green's integrals and existence of \(W^{s,2}\)-solutions of matrix factorizations of the Laplace operator in a ball
• Construction of Carleman formulas by using mixed problems with parameter-dependent boundary conditions
• On completeness of root functions of Sturm-Liouville problems with discontinuous boundary operators
• On the completeness of root functions of Sturm-Liouville problems for the Lamé system in weighted spaces
• Sturm–Liouville problems in weighted spaces in domains with nonsmooth edges. I
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

This page was built for publication: On Initial Boundary Value Problem for Parabolic Differential Operator with Non-coercive Boundary Conditions