On the Existence of Solution of Some Problems for Nonlinear Loaded Parabolic Equations with Cauchy Data
Two problems are considered in this article. First problem is the Cauchy problem for a two-dimensional loaded parabolic equation with coefficients dependent on unknown function and its derivatives. Second problem is the Cauchy problem for one-dimensional equation of the Burgers-type. The sufficient...
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| Veröffentlicht in: | Journal of Siberian Federal University. Mathematics & Physics 2014-01, Vol.7 (2), p.173 |
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| container_title | Journal of Siberian Federal University. Mathematics & Physics |
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| creator | Frolenkov, Igor V Darzhaa, Maria A |
| description | Two problems are considered in this article. First problem is the Cauchy problem for a two-dimensional loaded parabolic equation with coefficients dependent on unknown function and its derivatives. Second problem is the Cauchy problem for one-dimensional equation of the Burgers-type. The sufficient conditions of the existence of solutions of these problems in classes of smooth bounded functions are presented in this article. The method of weak approximation is used, for the purpose of obtaining the proof. |
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| identifier | ISSN: 1997-1397 |
| ispartof | Journal of Siberian Federal University. Mathematics & Physics, 2014-01, Vol.7 (2), p.173 |
| issn | 1997-1397 2313-6022 |
| language | eng |
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| source | Math-Net.Ru (free access) |
| title | On the Existence of Solution of Some Problems for Nonlinear Loaded Parabolic Equations with Cauchy Data |
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