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Seminar on nonlinear problems of partial differential equations and mathematical physics
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Destruction of solutions of nonlinear equations of Sobolev type M. O. Korpusov Lomonosov Moscow State University |
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Abstract: The report will consider model nonlinear equations of Sobolev type in the theory of waves in plasma and magnets. For relevant Cauchy problems obtained results on the existence of so-called critical exponents delimiting regions where there is no local solvability in time in the weak sense and where there is local solvability in time. |
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