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Article

Watanabe, Hiroshi
Continuous dependence for BV-entropy solutions to strongly degenerate parabolic equations with variable coefficients. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 315-324
MSC: 35K55, 35K65, 35L65
Keywords:
Strongly degenerate parabolic, continuous dependence, BV -entropy solution
Summary:
We consider the Cauchy problem for degenerate parabolic equations with variable coefficients. The equation has nonlinear convective term and degenerate diffusion term which depends on the spatial and time variables. In this paper, we prove the continuous dependence for entropy solutions in the space BV to the problem not only initial function but also all coefficients.
References:
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