On the Cauchy problem for the wave equation in a two-dimensional domain with data on the boundary

DOI10.1007/S10958-023-06864-6arXiv2010.14354OpenAlexW4390009074MaRDI QIDQ6145435

M. N. Demchenko

Publication date: 2 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.14354

zbMATH Keywords

data on a part of the boundary

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

• On the Cauchy problem for the wave equation with data on the boundary
• Linear and quasilinear elliptic equations
• Inverse problems for the ground penetrating radar
• Local inversion of the sonar transform regularized by the approximate inverse
• Determining a Function from Its Mean Values Over a Family of Spheres
• Unique continuation for solutions to pde's; between hörmander's theorem and holmgren' theorem
• Recent progress in the boundary control method
• Inverse problems for partial differential equations
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