Quasilinearization for some nonlocal problems.
Yin, Yunfeng (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Yin, Yunfeng (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Pao, C.V. (2005)
Advances in Difference Equations [electronic only]
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Olek, Anna, Szczepania, Kuba (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Taylor, Willie E.jun., Sun, Minghua (1995)
Portugaliae Mathematica
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Zhengmeng Jin, Xiaoping Yang (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we consider the initial boundary value problem of a parabolic-elliptic system for image inpainting, and establish the existence and uniqueness of weak solutions to the system in dimension two.
Luca, Rodica (2006)
Advances in Difference Equations [electronic only]
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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.