On quasielliptic operators in \(\mathbb{R}_n\)

DOI10.1007/BF02672910zbMath0916.35032MaRDI QIDQ1288113

Gennadii V. Demidenko

Publication date: 11 May 1999

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

weighted Sobolev spaceunique solvability

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (13)

On solvability of regular hypoelliptic equations in \(\mathbb{R}^n\) ⋮ Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative ⋮ On well-posedness of the Cauchy problem for pseudohyperbolic equations in weighted Sobolev spaces ⋮ Mapping Properties of One Class of Quasielliptic Operators ⋮ Cauchy problem for one pseudohyperbolic system ⋮ Some properties of functions of a class of weighted Sobolev spaces ⋮ On solvability of one class of quasielliptic systems ⋮ On the Fredholm property of semielliptic operators in anisotropic weighted spaces in \(\mathbb{R}^n\) ⋮ Correct solvability of the Dirichlet problem in the half-space for regular hypoelliptic equations ⋮ Solvability of the Cauchy problem for a pseudohyperbolic system ⋮ On behavior at infinity of the solutions to equations with dominating mixed derivative ⋮ Solvability of the second boundary value problem for the Stokes system ⋮ Positive-Homogeneous Operators, Heat Kernel Estimates and the Legendre-Fenchel Transform

Cites Work

• Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
• Integral operators determined by quasielliptic equations. I
• The null spaces of elliptic partial differential operators in R\(^n\)
• Elliptic operators and the decomposition of tensor fields
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