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Parabolic Equations

  • Marin Marin
  • Andreas Öchsner
Chapter

Abstract

The prototype of a parabolic equation is given by the equation of propagation of heat in a body. Let \(\Omega \) be a bounded domain from \({\mathrm{I}}\!{\mathrm{R}}^n\) having boundary \(\partial \Omega \) and \(\overline{\Omega }= \Omega \cup \partial \Omega \). For a constant of time \(T>0\), arbitrarily fixed, consider the interval of time \(\mathcal{T}_T\) given by
$$ \mathcal{T}_T=\{t\;:0<t\le T\},\overline{\mathcal{T}_T}=\{t\;:0\le t\le T\}. $$

Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceTransilvania University of BrasovBrasovRomania
  2. 2.Faculty of Mechanical EngineeringEsslingen University of Applied SciencesEsslingenGermany

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