Fourier transform and smoothness of solutions of a class of semilinear elliptic degenerate equations with double characteristics

DOI10.1134/S1061920810020044zbMath1254.35101OpenAlexW1989114026MaRDI QIDQ455514

V. T. T. Hien, Nguyen Minh Tri

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920810020044

zbMATH Keywords

Fourier transformanalyticity of solutionssemilinear elliptic degenerate equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70)

Related Items (1)

On the analyticity of solutions to semilinear differential equations degenerated on a submanifold

Cites Work

• Conditions necessaires d'hypoanalyticite pour des opérateurs invariants à gauche homogenes sur un groupe nilpotent gradue
• Some examples of hypoelliptic partial differential equations
• A note on necessary conditions of hypoellipticity for some classes of differential operators with double characteristics
• Viscosity solutions on Grushin-type planes
• A note on the fundamental solution for the Tricomi-type equation in the hyperbolic domain
• Analyticity of solutions of semi-linear equations with double characteristics
• Fundamental solutions of the Tricomi operator. III
• The 𝑃-Laplace equation on a class of Grushin-type spaces
• Semilinear hypoelliptic differential operators with multiple characteristics
• An Example in the Solvability Theory of Linear PDE's
• Semilinear perturbation of powers of the mizohata operators
• Singular solutions for a class of Grusin type operators
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