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The critical length for a quenching problem

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Publication:4008925
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DOI10.1016/0362-546X(92)90207-UzbMath0808.35060MaRDI QIDQ4008925

Jong-Shenq Guo

Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)


zbMATH Keywords

bifurcation diagramquenching criteriacritical length of quenching


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Bifurcations in context of PDEs (35B32)


Related Items (3)

Nondegeneracy and uniqueness of positive solutions for Robin problem of second order ordinary differential equations and its applications ⋮ A thermal explosion model ⋮ An exact multiplicity theorem involving concave-convex nonlinearities and its application to stationary solutions of a singular diffusion problem



Cites Work

  • Blow-up of solutions of nonlinear heat equations
  • Quenching, nonquenching, and beyond quenching for solution of some parabolic equations
  • On the quenching behavior of the solution of a semilinear parabolic equation
  • On a quenching problem with the robin boundary condition
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