The behavior of the heat operator on weighted Sobolev spaces

DOI10.1090/S0002-9947-98-02140-0zbMath0891.35044OpenAlexW1502955859MaRDI QIDQ4382969

Christopher Peter Mawata, Gerald N. Hile

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02140-0

zbMATH Keywords

Fredholm property

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Heat equation (35K05) General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45) (Semi-) Fredholm operators; index theories (47A53)

Related Items (2)

Heat polynomial analogues for equations with higher order time derivatives ⋮ Liouville theorems for elliptic systems of arbitrary order

Cites Work

• Classes of solutions of linear systems of partial differential equations of parabolic type
• Series expansions of solutions of the heat equation in \(n\) dimensions
• Correction to: On elliptic systems in \({\mathbb{R}}^ n\)
• Fredholm properties of a class of elliptic operators on non-compact manifolds
• Schauder estimates and existence theory for entire solutions of linear parabolic equations
• Liouville theorems for nonlinear parabolic equations of second order
• The null spaces of elliptic partial differential operators in R\(^n\)
• Schauder estimates and existence theory for entire solutions of linear elliptic equations
• The behavior of the laplacian on weighted sobolev spaces
• On the Null-Spaces of First-Order Elliptic Partial Differential Operators in R n
• On the Null-Spaces of Elliptic Partial Differential Operators in R n
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