Abstract
A method is given for obtaining integral growth lemmas for solutions of boundary problems for a large class of quasilinear evolution equations. As a possible application a sharp estimate is obtained of the dependence of the support of a solution of a mixed problem and a Cauchy problem for a quasilinear divergent parabolic equation on time.
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V. F. Akulov and A. E. Shishkov, “Asymptotic properties of solutions of mixed problems for quasilinear parabolic equations in unbounded domains,” Mat. Sb.,182, No. 8, 1200–1210 (1991).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 10, pp. 1451–1456, October, 1992.
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Shishkov, A.E. Estimates of rate of propagation of perturbations in quasilinear divergent degenerate parabolic equations of high order. Ukr Math J 44, 1335–1340 (1992). https://doi.org/10.1007/BF01057693
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DOI: https://doi.org/10.1007/BF01057693