On the Cauchy problem for the elliptic complexes in spaces of distributions

DOI10.1080/17476933.2013.776043zbMath1291.35435arXiv1109.5079OpenAlexW2133137010MaRDI QIDQ5418588

Dmitry Fedchenko, Alexandre A. Shlapunov

Publication date: 26 May 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5079

zbMATH Keywords

Carleman's formulaill-posed Cauchy problemelliptic differential complexes

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Ill-posed problems for PDEs (35R25) Differential complexes (58J10) Overdetermined systems of PDEs with constant coefficients (35N05) Boundary value problems for first-order elliptic systems (35J56)

Related Items (5)

On the approximation of solutions to the heat equation in the Lebesgue class \(L^2\) by more regular solutions ⋮ Construction of Carleman formulas by using mixed problems with parameter-dependent boundary conditions ⋮ Approximation and Carleman formulas for solutions to parabolic Lamé-type operators in cylindrical domains ⋮ On uniqueness theorems for the inverse problem of electrocardiography in the Sobolev spaces ⋮ On Carleman-type Formulas for Solutions to the Heat Equation

Cites Work

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• Equations of Maxwell type
• Negative norms and boundary problems
• On the Cauchy problem for the \(\overline \partial\) operator
• Green integrals on manifolds with cracks
• Duality by reproducing kernels
• Bases With Double Orthogonality in the Cauchy Problem for Systems With Injective Symbols
• Overdetermined systems of linear partial differential equations
• On the Cauchy problem for operators with injective symbols in the spaces of distributions
• The Identity of Weak and Strong Extensions of Differential Operators

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