On coerciveness and semiboundedness of general boundary problems

DOI10.1007/BF02771518zbMath0231.35027MaRDI QIDQ2550498

Gerd Grubb

Publication date: 1971

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40)

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Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Problèmes aux limites non homogènes. II, III
• Pseudo-differential operators and non-elliptic boundary problems
• Comportement d'un opérateur pseudo-différentiel sur une variété à bord. I: La propriété de transmission, II: Pseudo-noyaux de Poisson
• Sur les problèmes aux limites elliptiques stablement variationnels
• The coerciveness problem for integro-differential forms
• Remarks on strongly elliptic partial differential equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Remarks on elliptic boundary value problems
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Non‐coercive boundary value problems
• Pseudo‐differential operators
• Singular Integrals and Boundary Value Problems
• Problèmes aux limites variationnels du type elliptique
• On some homogeneous boundary value problems bounded below
• Coerciveness of the normal boundary problems for an elliptic operator
• Dirichlet's problem for linear elliptic partial differential equations