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Isoperimetric inequalities for a class of nonlinear parabolic equations

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Publication:1224717
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DOI10.1007/BF01590510zbMath0324.35051MaRDI QIDQ1224717

Catherine Bandle

Publication date: 1976

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)



Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45)


Related Items (4)

Symmetrization in a nonlinear degenerate parabolic problem ⋮ Growth estimates in diffusion-reaction problems ⋮ Estimates for membranes of varying density† ⋮ Blowup in diffusion equations: A survey



Cites Work

  • Bounds for the solutions of boundary value problems
  • Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
  • Pointwise bounds for solutions of semilinear parabolic equations
  • On the growth of solutions of quasi‐linear parabolic equations
  • Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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