A dynamic boundary-value problem without initial conditions for almost linear parabolic equations |
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Authors: | Yu B Dmytryshyn |
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Institution: | 1.“Kontsern Halnaftohaz” Industrial Corporation,Lviv,Ukraine |
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Abstract: | We study a dynamic boundary-value problem without initial conditions for linear and almost linear parabolic equations. First,
we establish conditions for the existence of a unique solution of a problem without initial conditions for a certain abstract
implicit evolution equation in the class of functions with exponential behavior as t → −∞. Then, using these results, we prove the existence of a unique solution of the original problem in the class of functions
with exponential behavior at infinity. |
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Keywords: | |
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