The Structure of Solutions near an Extinction Point in a Semilinear Heat Equation with Strong Absorption: A Formal Approach

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 7)


We consider nonnegative solutions of the semilinear parabolic equation u t u xx + u p = 0, -∞<x< +∞, t>0, 0<p<l, which vanish at the extinction point x = 0 at a time t = T. By means of formal methods, we derive a family of asymptotic expansions for solutions and interface curves (these last separating the regions where u = 0 and u> 0), as (x,t) approaches (0,T).


Asymptotic Expansion Real Constant Formal Approach Type Solution Nonnegative Solution 
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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  1. 1.Keldysh Institute of Applied MathematicsAcademy of Sciences USSRMoscowUSSR
  2. 2.Departamento de Matemática AplicadaFacultad de Matemáticas Universidad ComplutenseMadridSpain

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