Integral operators determined by quasielliptic equations. I

DOI10.1007/BF00973468zbMath0820.47053OpenAlexW4230808427MaRDI QIDQ1335957

Gennadii V. Demidenko

Publication date: 8 November 1994

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

Full work available at URL: https://doi.org/10.1007/bf00973468

zbMATH Keywords

families of integral operators generated by quasielliptic equationsscale of weighted Sobolev spacessolutions of the quasielliptic equations

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Integral operators (47G10)

Related Items

On solvability of regular hypoelliptic equations in \(\mathbb{R}^n\), Some properties of functions of a class of weighted Sobolev spaces, Correct solvability of the Dirichlet problem in the half-space for regular hypoelliptic equations, Davies’ method for heat-kernel estimates: An extension to the semi-elliptic setting, On quasielliptic operators in \(\mathbb{R}_n\), Positive-Homogeneous Operators, Heat Kernel Estimates and the Legendre-Fenchel Transform, Multianisotropic integral operators defined by regular equations

Cites Work

• Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
• Fredholm properties of a class of elliptic operators on non-compact manifolds
• The null spaces of elliptic partial differential operators in R\(^n\)
• Symmetric positive linear differential equations
• The behavior of the laplacian on weighted sobolev spaces
• Boundary value problems for the laplacian in an exterior domain
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