No. 27 (127), issue 2Pages 117 - 120

ON THE CAUCHY PROBLEM FOR THE EQUATION OF FREE SURFACE OF FILTERED FLUID ON THE MANIFOLD

D.E. Shafranov
The author introduces the existence of the unique solution of the Cauchy problem for the equation of free surface of filtered fluid in the k-form spaces defined on the smooth compact oriented Riemannian manifold without boundary.
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Keywords
Sobolev type equation, k-forms, Riemannian manifold