Analysis of equations in the phase-field model
Beneš, Michal
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Beneš, Michal
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Merazga, Nabil, Bouziani, Abdelfatah (2003)
Abstract and Applied Analysis
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Ján Lovíšek (2003)
Applications of Mathematics
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A class of parabolic initial-boundary value problems is considered, where admissible coefficients are given in certain intervals. We are looking for maximal values of the solution with respect to the set of admissible coefficients. We give the abstract general scheme, proposing how to solve such problems with uncertain data. We formulate a general maximization problem and prove its solvability, provided all fundamental assumptions are fulfilled. We apply the theory to certain Fourier...
Komil Kuliev, Lars-Erik Persson (2007)
Applications of Mathematics
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In this paper Rothe’s classical method is extended so that it can be used to solve some linear parabolic boundary value problems in non-cylindrical domains. The corresponding existence and uniqueness theorems are proved and some further results and generalizations are discussed and applied.
Alves, Margareth S., Rivera, Jaime E.Muñoz, Sepúlveda, Mauricio, Villagrán, Octavio Vera (2011)
Boundary Value Problems [electronic only]
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