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Non-negative solutions in ΣT. The case p>2

  • Emmanuele DiBenedetto
Part of the Universitext book series (UTX)

Abstract

Non-negative solutions of the heat equation in a strip ET – RN x (0, T) are somewhat special in the sense that they grow no faster than \( {e^a}\left| x \right|2,a < 1/4T,as\left| x \right| \to \infty \cdot \)

Keywords

Cauchy Problem Heat Equation Radon Measure Cutoff Function Porous Medium Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Emmanuele DiBenedetto
    • 1
    • 2
  1. 1.Northwestern UniversityUSA
  2. 2.University of Rome IIItaly

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