On the regularity up to the boundary in the Dirichlet problem for degenerate elliptic equations
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- by Adalberto P. Bergamasco, Jorge A. Gerszonowicz and Gerson Petronilho PDF
- Trans. Amer. Math. Soc. 313 (1989), 317-329 Request permission
Abstract:
We give a simple proof of the regularity up to the boundary of solutions of the Dirichlet problem for a class of second-order degenerate elliptic equations in the plane. We show that the method of transfer to the boundary via the associated heat equations, can be used to reduce the problem to proving the ellipticity or hypoellipticity of a pseudodifferential operator on the boundary.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 313 (1989), 317-329
- MSC: Primary 35J70; Secondary 35B65, 35S15
- DOI: https://doi.org/10.1090/S0002-9947-1989-0929659-7
- MathSciNet review: 929659