Abstract
In the article, questions of the uniqueness of solutions of boundary-value problems and the Cauchy problem for parabolic systems without conditions on their behavior at infinity are studied. The continuous dependence of generalized solutions of the problems considered on the right-hand terms is proved.
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Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 25, pp. 35–54, 2005.
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Bokalo, N.M. Correctness of the first boundary-value problem and the Cauchy problem for some quasilinear parabolic systems without conditions at infinity. J Math Sci 135, 2625–2636 (2006). https://doi.org/10.1007/s10958-006-0134-6
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DOI: https://doi.org/10.1007/s10958-006-0134-6