RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2013 Volume 94, Issue 2, Pages 207–217 (Mi mzm9370)

This article is cited in 40 papers

The Inverse Problem of Determining the Lower-Order Coefficient in Parabolic Equations with Integral Observation

V. L. Kamynin

National Engineering Physics Institute "MEPhI", Moscow

Abstract: Existence and uniqueness theorems for the solution to the inverse problem of determining the lower-order coefficient in multidimensional parabolic equations with integral observation are obtained. An estimate of the maximum of the modulus of the unknown coefficient with a constant explicitly expressed via the input data of the problem is given.

Keywords: multidimensional parabolic equation, inverse problem for parabolic equations with integral observation, maximum principle, Cordes-type condition.

UDC: 517.95

Received: 26.01.2012

DOI: 10.4213/mzm9370


 English version:
Mathematical Notes, 2013, 94:2, 205–213

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024