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Russian Journal of Mathematical Physics

, Volume 20, Issue 4, pp 453–467 | Cite as

Estimate for a solution to the water wave problem in the presence of a submerged body

  • I. Kamotski
  • V. Mazýa
Article

Abstract

We study the two-dimensional problem of propagation of linear water waves in deep water in the presence of a submerged body. Under some geometrical requirements, we derive an explicit bound for the solution depending on the domain and the functions on the right-hand side.

Keywords

Mathematical Physic Hardy Type Inequality Tangential Derivative Water Wave Problem Boundary Trace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  1. 1.Department of MathematicsUniversity College LondonLondonUK
  2. 2.Department of MathematicsLinköping UniversityLinköpingSweden
  3. 3.Department of Mathematical SciencesUniversity of LiverpoolLiverpoolUK

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