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Unilateral dirichlet problems of the non-variational type

โœ Scribed by Giovanni M. Troianiello


Book ID
112745634
Publisher
Springer
Year
1979
Tongue
English
Weight
688 KB
Volume
122
Category
Article
ISSN
0373-3114

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We introduce a new concept of solution for the Dirichlet problem for the total variational flow named entropy solution. Using Kruzhkov's method of doubling variables both in space and in time we prove uniqueness and a comparison principle in L 1 for entropy solutions. To prove the existence we use t