The authors investigate the degenerate (tangential) oblique derivative problem for linear and semilinear second order elliptic and parabolic operators. They propose at first a survey on the linear degenerate oblique derivative problem including central results on the subject, as well as subelliptic estimates in Sobolev and Holder classes. Theorems on existence, uniqueness, and regularity of the classical solutions to the tangential oblique derivative problem for semilinear elliptic and parabolic equations are detailed.
|Product dimensions:||6.73(w) x 9.45(h) x 0.31(d)|
About the Author
Dian K. Palagachev, Associate Professor at the Technological University of Sofia, Bulgaria
Table of ContentsModels of Subelliptic Estimates in Sobolev and Hoelder Classes.
Schauber-Type Estimates for the Degenerate Problem for Linear Parabolic Operators.
Existence, Uniqueness and Regularity of the Solutions to the Degenerate Oblique Derivative Problem for Linear and Semilinear Elliptic and Parabolic Operators of Second Order in Hoelder Classes.