Abstract.
We study a nonlinear diffusion equation \((\psi (u))_t =u_{xx},\0 < x < 1,\t > 0\) with a singular boundary condition \(u_x(1,t) = -g(u(1,t))\). We prove finite time quenching for the solution. We also establish results on quenching set and rate.
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Received: January 28, 1998
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Deng, K., Xu, M. Quenching for a nonlinear diffusion equation with a singular boundary condition. Z. angew. Math. Phys. 50, 574–584 (1999). https://doi.org/10.1007/s000330050167
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DOI: https://doi.org/10.1007/s000330050167