Normal solvability of elliptic boundary value problems on asymptotically flat manifolds

DOI10.1016/0022-1236(92)90010-GzbMath0772.58059OpenAlexW2072133043MaRDI QIDQ1207125

Elmar Schrohe, Albert Kohen Erkip

Publication date: 2 May 1993

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90010-g

zbMATH Keywords

boundary value problemsnoncompact manifoldselliptic pseudodifferential operators

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) Boundary value problems on manifolds (58J32)

Related Items

Fredholm property of general elliptic problems ⋮ \(L^p\)-theory of boundary integral operators for domains with unbounded smooth boundary ⋮ Transmission problems for conical and quasi-conical at infinity domains ⋮ Spectral theory of a hybrid class of pseudo-differential operators ⋮ Unnamed Item ⋮ Weyl law on asymptotically Euclidean manifolds ⋮ Boundary value problems in spaces of distributions on smooth and polygonal domains ⋮ On explicit solvability of an elliptic boundary value problem and its application ⋮ Gelfand-Shilov regularity of SG boundary value problems ⋮ Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra I:A PrioriEstimates ⋮ Boundary value problems and layer potentials on manifolds with cylindrical ends ⋮ Boundary problems for domains with conical exits at infinity and limit operators ⋮ Fréchet Algebra Techniques for Boundary Value Problems on Noncompact Manifolds: Fredholm Criteria and Functional Calculus via Spectral Invariance ⋮ Integral equations of diffraction problems with unbounded smooth obstacles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Functional calculus of pseudo-differential boundary problems
• Complex powers on noncompact manifolds and manifolds with singularities
• A \(\psi ^ *\) algebra of pseudodifferential operators on noncompact manifolds
• Relative Inversion in der Störungstheorie von Operatoren und \(\Psi\)- Algebren. (Relative inversions in perturbation theory of operators and \(\Psi\)-algebras)
• Zur Spektralinvarianz von Algebren von Pseudodifferentialoperatoren in der \(L^ p\)-Theorie. (The spectral invariance of algebras of pseudodifferential operators in the \(L^ p\)-theory)
• The N-th order elliptic boundary problem for noncompact boundaries
• Transformation of boundary problems
• Operatori pseudo-differenziali in R\(^n\) e applicazioni
• Un problema ai limiti ellittico in un dominio non limitato
• A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
• Pseudo-differential operators and non-elliptic boundary problems
• Fredholm, Hodge and Liouville Theorems on Noncompact Manifolds
• Lower curvature bounds, Toponogov's theorem, and bounded topology. II
• The elliptic boundary problem on the half space
• Integro-Differential Operators on Vector Bundles
• Properties of solutions of ordinary differential equations in banach space

This page was built for publication: Normal solvability of elliptic boundary value problems on asymptotically flat manifolds