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Publications Influence

Inverse Source Problems

- V. Isakov
- Mathematics
- 1990

Preliminaries Results overlook Uniqueness theorems Singular points of the exterior potential Existence theory Parabolic problems Hyperbolic problems.

481 30

Inverse problems for partial differential equations

- V. Isakov
- Mathematics
- 20 November 1997

Inverse Problems.- Ill-Posed Problems and Regularization.- Uniqueness and Stability in the Cauchy Problem.- Elliptic Equations: Single Boundary Measurements.- Elliptic Equations: Many Boundary… Expand

840 25

Carleman Type Estimates in an Anisotropic Case and Applications

- V. Isakov
- Mathematics
- 1 October 1993

151 18

On uniqueness in the inverse conductivity problem with local data

- V. Isakov
- Mathematics
- 2007

We show that the Dirichlet-to-Neumann map given on an arbitrary part of the boundary of a three-dimensional domain with zero Dirichlet (or Neumann) data on the remaining (spherical or plane) part of… Expand

120 12- PDF

TOPICAL REVIEW: Uniqueness, stability and numerical methods for the inverse problem that arises in financial markets

- Ilia Bouchouev, V. Isakov
- Mathematics
- 1 June 1999

Market prices of financial derivatives such as options are directly observable. This information can be used to recover an unobservable local volatility function for the underlying stochastic… Expand

160 9

A nonhyperbolic cauchy problem for □b□c and its applications to elasticity theory

- V. Isakov
- Mathematics
- 1 November 1986

On etudie l'unicite et la stabilite d'une fonction u satisfaisant les conditions suivantes: □ b □ c u+A 3 u=f sur (−T,T)×G, (∂/∂N) j u=g j sur (−T,T)×Γ', j≤3, ou □ b u=bu tt −Δu, A k est un operateur… Expand

61 9

On uniqueness of recovery of a discontinuous conductivity coefficient

- V. Isakov
- Mathematics
- 1 October 1988

On considere le probleme de retrouver le coefficient a de l'equation elliptique div(a⊇u)=0 dans un domaine Ω avec la condition aux limites u=φ sur ∂Ω quand ∂u/∂N est donnee pour tout φ (regulier). On… Expand

185 8

Stability estimates for hyperbolic inverse problems with local boundary data

The authors obtain stability estimates of recovery of two coefficients of a hyperbolic partial differential equation from all possible measurements implemented at a part of the lateral boundary.… Expand

54 8

Completeness of products of solutions and some inverse problems for PDE

- V. Isakov
- Mathematics
- 1 August 1991

Abstract In this paper we give conditions which guarantee that products of solutions of partial differential equations Pu + au = 0 are complete in L 2 (Ω) . Here P is a linear partial differential… Expand

92 6- PDF