On a New Problem of Mathematical Physics

S. L. Sobolev

Chapter 9. in Selected Works of S.L. Sobolev, 2006, pp 279-332 from Springer

Abstract: Summary We consider a system of partial differential equations that is not a Kovalevskaya system. The Cauchy problem and the mixed problem in a smooth domain are studied. We prove the existence of a solution in a Hilbert space H and the continuous dependence on the initial conditions. The Cauchy problem in an unbounded space is solved explicitly.

Keywords: Hilbert Space; Mathematical Physic; Cauchy Problem; Harmonic Function; Entire Space (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-387-34149-1_9

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DOI: 10.1007/978-0-387-34149-1_9

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