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Identifier 000452882
Title Porous medium /slow diffusion equation with nonlinear source and 3RD type boundary conditions
Alternative Title Εξίσωση πορόδους μέσου με αργή διάχυση με μη γραμμική πηγή και 3RD τύπου συνοριακές συνθήκες
Author Γραμματικός Ηλίας
Thesis advisor Τερσενώφ, Άλκης
Reviewer Φίλιππας, Στάθης
Τερτίκας, Αχιλλέας
Abstract In the present paper, we obtain a new a priori estimate of the solution of the initial-boundary value Problem for the Porous medium equation with non-linear source. Also, we present the conditions guaranteeing the existence of a global classical solution of this Problem as well as the cases for which the solution may blow up (the last is discussed in [1,2]). We have to establish an a priori estimate of the already studied heat type problem with Dirichlet conditions instead (see [3]). The main tool which is going to be utilized for finding an a priori estimate and constructing an upper bound for the solution, is the maximum principle
Language English
Subject A priori εκτιμήσεις
Εξίσωση αργής διάχυσης
Issue date 2023-03-17
Collection   School/Department--School of Sciences and Engineering--Department of Mathematics and Applied Mathematics--Post-graduate theses
  Type of Work--Post-graduate theses
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