On an initial-boundary value problem for the nonlinear Schrödinger equation.
Gajewski, Herbert (1979)
International Journal of Mathematics and Mathematical Sciences
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Gajewski, Herbert (1979)
International Journal of Mathematics and Mathematical Sciences
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Ye, Yaojun (2007)
Differential Equations & Nonlinear Mechanics
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Bahuguna, D., Muslim, M. (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Bahuguna, D., Shukla, Reeta (2004)
International Journal of Mathematics and Mathematical Sciences
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Bahuguna, D., Dabas, J. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Guo, Dajun (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Kastenholz, Michael, Lange, Horst, Nieder, Dirk (1989)
Portugaliae mathematica
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Manfred Müller, Joachim Naumann (1978)
Aplikace matematiky
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The present part of the paper continues the study of the abstract evolution inequality from the first part. Theorem 1 states the existence and uniqueness of a weak solution to the evolution inequality under consideration. The proof is based on the method of approximation of the weak solution by a sequence of strong solutions. Theorem 2 yields two regularity results for the strong solution.
Balachandran, K., Chandrasekaran, M. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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