Propagation of singularities from singular and infinite points in certain complex-analytic Cauchy problems and an application to the Pompeiu problem
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Publication:1325143
DOI10.1215/S0012-7094-94-07323-7zbMath0833.35004OpenAlexW1516032593MaRDI QIDQ1325143
Publication date: 25 February 1996
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07323-7
Related Items (8)
The mixed Cauchy problem for holomorphic partial differential operators ⋮ Symmetry theorems for the overdetermined eigenvalue problems ⋮ Some results on the schiffer conjecture in \(R^2\) ⋮ Sets with the Pompeiu property on the plane and on the sphere ⋮ The Pompeiu property and approximation in \(L^{p}\) by linear combinations of shifts ⋮ A new result on the Pompeiu problem ⋮ On Novel Geometric Structures of Laplacian Eigenfunctions in $\mathbb{R}^3$ and Applications to Inverse Problems ⋮ Boundary regularity for a family of overdetermined problems for the Helmholtz equation.
Cites Work
- A survey of I. N. Vekua's theory of elliptic partial differential equations with analytic coefficients
- An inverse spectral theorem and its relation to the Pompeiu problem
- Differential equations with polynomial coefficients
- A partial solution of the Pompeiu problem
- Singularities of the solution to a certain Cauchy problem and an application to the Pompeiu problem
- Uniformisation de la solution du problème linéaire analytique de Cauchy près de la variété qui porte les données de Cauchy. (Problème de Cauchy. I)
- New Results on the Pompeiu Problem
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