Linear two-phase Venttsel problems

Darya E. Apushkinskaya; Aleksandr I. Nazarov

doi:10.1007/BF02384554

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Home > Journals > Ark. Mat. > Volume 39 > Issue 2 > Article

October 2001 Linear two-phase Venttsel problems

Darya E. Apushkinskaya, Aleksandr I. Nazarov

Author Affiliations +

Darya E. Apushkinskaya,¹ Aleksandr I. Nazarov²
¹Department of Mathematics and Mechanics, St. Petersburg State University
²Research Institute of Mathematics and Mechanics, St. Petersburg State University

Ark. Mat. 39(2): 201-222 (October 2001). DOI: 10.1007/BF02384554

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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.

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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