Invariants and spaces of zero solutions of linear partial differential operators

DOI10.1007/s00013-006-1671-4zbMath1104.46004OpenAlexW1976661172MaRDI QIDQ2501157

Dietmar Vogt

Publication date: 4 September 2006

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-006-1671-4

zbMATH Keywords

hypoellipticityconstant coefficient partial differential operatorlinear topological invariants

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63) Subelliptic equations (35H20)

Related Items (6)

Real analytic parameter dependence of solutions of differential equations over Roumieu classes ⋮ Linear topological invariants for kernels of convolution and differential operators ⋮ Splitting and parameter dependence in the category of \(\mathrm{PLH}\) spaces ⋮ Surjectivity of differential operators and linear topological invariants for spaces of zero solutions ⋮ Real analytic parameter dependence of solutions of differential equations ⋮ Vector valued hyperfunctions and boundary values of vector valued harmonic and holomorphic functions

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