Geometrical properties of the solutions of one-dimensional nonlinear parabolic equations
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Publication:1906500
DOI10.1007/BF01461014zbMath0842.35006MaRDI QIDQ1906500
Victor A. Galaktionov, Juan Luis Vazquez
Publication date: 29 July 1996
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/165390
Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
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Cites Work
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- Eventual \(C^{\infty}\)-regularity and concavity for flows in one- dimensional porous media
- On the shape of the solutions of second order parabolic partial differential equations
- The Balance Between Strong Reaction And Slow Diffusion
- Concavity of Solutions of the Porous Medium Equation
- The zero set of a solution of a parabolic equation.
- Any large solution of a non-linear heat conduction equation becomes monotonic in time
- Extinction for a quasilinear heat equation with absorprtion i. technique of intersection comparison
- Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
- Gestaltaussagen über Lösungen parabolischer Differentialgleichungen.
- Regularity Propeties of Flows Through Porous Media
- Similarity solutions of the nonlinear diffusion equation
