Abstract
A priori estimates are established for the two-phase boundary value problems with Venttsel interface conditions for linear nondivergent parabolic and elliptic equations. By these estimates, the existence and uniqueness theorems in Sobolev and Hölder spaces are proved.
Funding Statement
This work was partially supported by the Russian Fund for Fundamental Research, grant no. 99-01-00684 and the Grant Agency of Charles University in Prague, Czech Republic (GAUK 170/1999/B MAT/MFF 303-10/203061).
Dedication
Dedicated to the memory of A. D. Aleksandrov.
Citation
Darya E. Apushkinskaya. Aleksandr I. Nazarov. "Linear two-phase Venttsel problems." Ark. Mat. 39 (2) 201 - 222, October 2001. https://doi.org/10.1007/BF02384554
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