Smoothness of generalized solutions of the Neumann problem for a strongly elliptic differential-difference equation on the boundary of adjacent subdomains

DOI10.1007/s10958-022-06095-1zbMath1500.35077OpenAlexW4295926841WikidataQ114225107 ScholiaQ114225107MaRDI QIDQ2083463

D. A. Neverova

Publication date: 10 October 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06095-1

zbMATH Keywords

Hölder continuity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Partial functional-differential equations (35R10) Partial difference equations (39A14)

Cites Work

• On the smoothness of generalized solutions to boundary value problems for strongly elliptic differential-difference equations on a boundary of neighboring subdomains
• The first boundary value problem for strongly elliptic differential- difference equations
• Study of functional-differential equations with unbounded operator coefficients
• On the classical and generalized solutions of boundary-value problems for difference-differential equations with variable coefficients
• On some non-linear elliptic differential functional equations
• Boundary-value problems for elliptic functional-differential equations and their applications
• The second boundary-value problem for parabolic differential-difference equations
• DIFFERENTIAL EQUATIONS WITH A PERTURBED ARGUMENT
• Bifurcation of periodic solutions for nonlinear parabolic functional differential equations arising in optoelectronics
• Nonlocal problems in the mechanics of three-layer shells
• Elliptic differential‐difference operators with degeneration and the Kato square root problem
• Elliptic functional differential equations and applications
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