On the Cauchy Problem for the Equation of Finite-depth Fluids

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Abstract

Some properties of the singular integral operator G(⋅) and the solvability of Cauchy problem for the singular integral-differential equations (1.1) and (1.2) of finite-depth fluids are studied.

Keywords:

Singular integral differential equation; Joseph equation; Cauchy problem; a priori estimates; Solvability
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On the Cauchy Problem for the Equation of Finite-depth Fluids. (1992). Journal of Partial Differential Equations, 5(1), 1-16. https://gsp.tricubic.dev/jpde/article/view/3698