Boundary problems for systems of partial differential operators of mixed order

DOI10.1016/0022-1236(77)90008-8zbMath0368.35030OpenAlexW1988182329MaRDI QIDQ1243040

Gerd Grubb

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0022-1236(77)90008-8

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Elliptic equations and elliptic systems (35J99) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items

Thermodynamical Consistent Modeling and Analysis of Nematic Liquid Crystal Flows ⋮ The Willmore energy and the magnitude of Euclidean domains ⋮ Transport and propagation of a perturbation of a flow of a compressible fluid in a bounded region ⋮ Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems ⋮ Component mode synthesis and eigenvalues of second order operators : discretization and algorithm ⋮ Sur l'unicité du problème de Cauchy et le prolongement unique pour des équations elliptiques à coefficients non localement bornes ⋮ Wavefront sets and polarizations on supermanifolds ⋮ Realisations of elliptic operators on compact manifolds with boundary ⋮ On the vanishing viscosity limit for acoustic phenomena in a bounded region ⋮ Asymptotic estimates for a semigroup related to compressible viscous fluid flow ⋮ Boundary problems for Dirac-type operators on manifolds with multi-cylindrical end boundaries ⋮ The essential spectrum of elliptic systems of mixed order ⋮ M-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems ⋮ Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pseudo-differential operators and non-elliptic boundary problems
• Boundary problems for pseudo-differential operators
• Fourier integral operators. I
• Weakly semi-bounded boundary problems and sesquilinear forms
• Diverses formulations du problème de Cauchy pour un système d'équations aux dérivées partielles
• Spectral theory for boundary value problems for elliptic systems of mixed order
• Uniformisation et développement asymptotique de la solution du problème de Cauchy linéaire, à données holomorphes ; analogie avec la théorie des ondes asymptotiques et approchées (Problème de Cauchy I bis et VI.)
• Singular Integrals and Boundary Value Problems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II