On a certain extension of the maximum principle
Výborný, R.
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Výborný, R.
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Huashui Zhan, Shuping Chen (2016)
Open Mathematics
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Consider a parabolic equation which is degenerate on the boundary. By the degeneracy, to assure the well-posedness of the solutions, only a partial boundary condition is generally necessary. When 1 ≤ α < p – 1, the existence of the local BV solution is proved. By choosing some kinds of test functions, the stability of the solutions based on a partial boundary condition is established.
L. H. Erbe, H. W. Knobloch (1990)
Annales Polonici Mathematici
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Yaman, M., Gür, Ş. (2010)
Boundary Value Problems [electronic only]
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Agarwal, Ravi P.
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Antontsev, S.N., Meirmanov, A.M., Yurinsky, V.V. (2001)
Portugaliae Mathematica. Nova Série
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H. Ugowski (1973)
Annales Polonici Mathematici
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