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A two-dimensional corner solution for a nonlinear diffusion equation

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Publication:1588754
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DOI10.1016/S0893-9659(99)00196-2zbMath0957.35074MaRDI QIDQ1588754

Santiago Betelú

Publication date: 4 December 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)


zbMATH Keywords

interfacesingular point


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Analyticity in context of PDEs (35A20)


Related Items (1)

A numerical method for solving a nonlinear 2-D optimal control problem with the classical diffusion equation



Cites Work

  • On new exact blow-up solutions for nonlinear heat conduction equations with source and applications
  • Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
  • Exact polynomial solutions to some nonlinear diffusion equations
  • How an Initially Stationary Interface Begins to Move in Porous Medium Flow
  • EXACT MULTIDIMENSIONAL SOLUTIONS TO SOME NONLINEAR DIFFUSION EQUATIONS
  • Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
  • Initial Motion of the Free Boundary for a Non-linear Diffusion Equation
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