Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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Singular solutions of semilinear parabolic equations

  • Baek, Geong-Seon (Department of Mathematics Chonnam National University ) ;
  • Kwak, Min-Kyu (Department of Mathematics Chonnam National University )
  • Published : 1995.08.01
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Abstract

In this paper we discuss the existence and uniqueness of singular solutions for equations of the form $$ (F) u_t = u{xx} - $\mid$u$\mid$^{q-1} u_x - $\mid$u$\mid$^{p-1}u, p,q > 1, $$ in the domain $Q = {(x,t) : x \in R, t > 0}$. This equation represents a model of diffusion-convection with absorption.

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