Abstract
A theorem about asymptotic (as t→∞) proximity of weak fundamental solutions of the Cauchy problem is proved for divergent second-order parabolic equations. It is assumed that the coefficients have derivatives generalized in the Sobolev sense. A possible application of this theorem to establishing the uniform proximity of weak solutions of the Cauchy problem is also discussed.
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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 5, pp. 693–700, May, 1995.
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Porper, F.O., Eidel'man, S.D. On asymptotic proximity of solutions of the Cauchy problem for second-order parabolic equations. Ukr Math J 47, 798–807 (1995). https://doi.org/10.1007/BF01059053
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DOI: https://doi.org/10.1007/BF01059053