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Zbl 0929.35012
Deng, Keng; Xu, Mingxi
Quenching for a nonlinear diffusion equation with a singular boundary condition.
(English)
[J] Z. Angew. Math. Phys. 50, No.4, 574-584 (1999). ISSN 0044-2275; ISSN 1420-9039/e

Summary: 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 the quenching set and rate.
MSC 2000:
*35B40 Asymptotic behavior of solutions of PDE
35B05 General behavior of solutions of PDE
35K55 Nonlinear parabolic equations
35K60 (Nonlinear) BVP for (non)linear parabolic equations

Keywords: quenching set and rate

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