On the Correctness of a Problem with Initial Conditions for a Partial Differential Equation.
R. E. Gibson Library bulletin translation series,
JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB
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Considered is the correctness of the statement of an extremely simple problem for a model equation of meteorology used in the qualitative study of a number of aspects, particularly, the matching of the wind to the geostrophic. The uniqueness is proved by the energy integral method. The proof of the existence of the solution and of the continuous dependence on the initial data and the left side is given in the metric of functional spaces of S. L. Sobolev by means of Fourier transformation. Author
- Operations Research