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An explicit stability estimate for an ill-posed Cauchy problem for the wave equation

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Publication:1176907
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DOI10.1016/0022-247X(91)90417-XzbMath0747.35002MaRDI QIDQ1176907

Victor Isakov, Karen A. Ames

Publication date: 25 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

two-dimensional wave equationCarleman type estimatesFriedrichs-Leray energy integrals


Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Ill-posed problems for PDEs (35R25) Initial value problems for second-order hyperbolic equations (35L15)


Related Items (2)

Embeddings in space–times sourced by scalar fields ⋮ On complex-valued 2D eikonals. IV: continuation past a caustic



Cites Work

  • Continuous dependence on data for solutions of partial differential equations with a prescribed bound
  • A nonhyperbolic cauchy problem for □b□c and its applications to elasticity theory
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