Theorems on the existence and nonexistence of solutions of the Cauchy problem for degenerate parabolic equations with nonlocal source
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- Afanas’eva, N.V. & Tedeev, A.F. Ukr Math J (2005) 57: 1687. doi:10.1007/s11253-006-0024-6
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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.