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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.
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
Carleman Type Estimates in an Anisotropic Case and Applications
- V. Isakov
- Mathematics
- 1 October 1993
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
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
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
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
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
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