Abstract
We consider the Cauchy problem for a doubly nonlinear degenerate parabolic equation with nonlocal source under the assumption that the initial function is integrable. We establish the existence and nonexistence of time-global solutions of the problem.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 11, pp. 1443–1464, November, 2005.
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Afanas’eva, N.V., Tedeev, A.F. Theorems on the existence and nonexistence of solutions of the Cauchy problem for degenerate parabolic equations with nonlocal source. Ukr Math J 57, 1687–1711 (2005). https://doi.org/10.1007/s11253-006-0024-6
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DOI: https://doi.org/10.1007/s11253-006-0024-6