Výsledky vyhledávání - "M. O. Korpusov"

On critical exponents for weak solutions of the Cauchy problem for a non-linear equation of composite type

Publikováno v: Izvestiya: Mathematics. 85:705-744

We consider the Cauchy problem for a model partial differential equation of third order with non-linearity of the form , where for and . We construct a fundamental solution for the linear part of the equation and use it to obtain analogues of Green�

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::28a2ea99400aadd6cfc7e306ff5b137a
https://doi.org/10.1070/im8954

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Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source

Autor: M. O. Korpusov

Publikováno v: Izvestiya: Mathematics. 84:930-959

We consider an abstract Cauchy problem with non-linear operator coefficients and prove the existence of a unique non-extendable classical solution. Under certain sufficient close-to-necessary conditions, we obtain finite-time blow-up conditions and u

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::625b065d89a03638f6223906fe59caa3
https://doi.org/10.1070/im8880

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Critical exponents of instantaneous blow-up or local solubility of non-linear equations of Sobolev type

Autor: M O Korpusov

Publikováno v: Izvestiya: Mathematics. 79:955-1012

We consider Cauchy problems for a class of non-linear equations of Sobolev type. It is shown that for such problems there is a critical exponent (depending on the dimension of the space ) according to which a weak local solution either exists uniquel

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5b0bccc557df6a0669265352e90d1a26
https://doi.org/10.1070/im2015v079n05abeh002768

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