WIAS Preprint No. 468, (1999)

Very singular solutions to a nonlinear parabolic equation with absorption. I - Existence


Authors

  • Benachour, Said
  • Laurençot, Philippe

2010 Mathematics Subject Classification

  • 35K15

Keywords

  • viscous Hamilton-Jacobi equation, very singular solution

DOI

10.20347/WIAS.PREPRINT.468

Abstract

We prove the existence of a very singular solution to

ut - Δu + I∇uIp = 0 in (0,+∞) × ℝN,

when 1 < p < (N+2)/(N+1).

Appeared in

  • Proc. Roy. Soc. Edinburgh Sect. A 131 (2001), no. 1, 27--44

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