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Estimations de Schauder et régularité Höldérienne pour une classe de problèmes aux limites singuliers. (Schauder estimates and Hölder regularity for a class of singular boundary value problems). (French) Zbl 0608.35026
We give Schauder estimates and Hölder regularity for a class of singular boundary value problems. The technics used is an adaption of the classical Peetre’s method based on a tangential Fourier transformation, but what is necessary for this technics is a tangential harmonic analysis of Hölder spaces.

MSC:
35J70 Degenerate elliptic equations
35B45 A priori estimates in context of PDEs
35B65 Smoothness and regularity of solutions to PDEs
35J40 Boundary value problems for higher-order elliptic equations
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