Smoothness of solutions of almost hypoelliptic equations

DOI10.3103/S1068362308030047zbMath1143.12300MaRDI QIDQ5900359

Vachagan N. Margaryan, H. G. Ghazaryan

Publication date: 22 September 2008

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

Sobolev weighted spacesalmost hypoelliptic equationhypoelliptic operator (polynomial)

Mathematics Subject Classification ID

Hypoelliptic equations (35H10) Special polynomials in general fields (12E10)

Related Items (6)

Extraction of smooth solutions of a class of regular equations in a rectangle ⋮ On almost hypoelliptic polynomials increasing at infinity ⋮ On a class of partially hypoelliptic operators in weighted Sobolev spaces ⋮ Smoothness of solutions of almost hypoelliptic equations ⋮ On extraction of smooth solutions of a class of almost hypoelliptic equations with constant power ⋮ Lower bounds for polynomials of many variables

Cites Work

• Critical Gevrey index for hypoellipticity of parabolic operators and Newton polygons
• Differentiability properties of solutions of systems of differential equations
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound
• Solution of Some Problems of Division. Part IV. Invertible and Elliptic Operators
• Opérateurs différentiels partiellement hypoelliptiques et partiellement elliptiques.

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