The Vishik–Lyusternik method in elliptic problems with a small parameter

DOI10.1090/S0077-1554-06-00154-3zbMath1219.35082OpenAlexW1765109680MaRDI QIDQ5297982

Leonid R. Volevich

Publication date: 16 July 2007

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0077-1554-06-00154-3

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (5)

Elliptic regularization for the semi-linear telegraph system ⋮ On elliptic boundary-value problems with small parameter and additional functions on the boundary of a domain ⋮ Unnamed Item ⋮ The Vishik–Lyusternik method in the mixed problem for parabolic operators unresolved with respect to the highest time derivative ⋮ On the Shapiro-Lopatinkii condition for elliptic problems

Cites Work

• Functional calculus of pseudo-differential boundary problems
• Coercive singular perturbations. I: A priori estimates
• Boundary-value problems for a class of elliptic operator pencils
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• On elliptic operator pencils with general boundary conditions
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