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Inverse problems in the ”large” and Carleman bounds. (English. Russian original) Zbl 0573.35083
Differ. Equations 20, 755-760 (1984); translation from Differ. Uravn. 20, No. 6, 1035-1041 (1984).
The author suggests a new method of investigation of a large class of inverse problems for differential equations. The method is based on the reduction of the inverse problem to an integro-differential inequality to which a weighted a priori estimate of Carleman type is applied. The method does not depend upon type or order of the equation and assumes only the availability of a Carleman estimation; in order to prove this, examples are given.
Reviewer: C.Simionescu

35R30 Inverse problems for PDEs
35B45 A priori estimates in context of PDEs
35A05 General existence and uniqueness theorems (PDE) (MSC2000)