On a seawater intrusion problem.
Tber, Moulay Hicham (2007)
APPS. Applied Sciences
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Tber, Moulay Hicham (2007)
APPS. Applied Sciences
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Clark, H.R., Ferrel, J.L., Clark, M.R. (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Ewa Bednarczuk (2007)
Control and Cybernetics
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Bjorn E. J. Dahlberg, Carlos E. Kenig (1988)
Revista Matemática Iberoamericana
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The purpose of this work is to study the class of non-negative continuous weak solutions of the non-linear evolution equation ∂u/∂t = ∆φ(u), x ∈ Rn, 0 < t < T ≤ +∞.
Adam Kubica (2005)
Applicationes Mathematicae
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We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in L². We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.
Karel Rektorys, Marie Ludvíková (1980)
Aplikace matematiky
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When solving parabolic problems by the so-called Rothe method (see K. Rektorys, Czech. Math. J. 21 (96), 1971, 318-330 and other authors), some difficulties of theoretical nature are encountered in the case of nonhomogeneous initial and boundary conditions. As a rule, these difficulties lead to rather unnatural additional conditions imposed on the corresponding bilinear form and the initial and boundary functions. In the present paper, it is shown how to remove such additional assumptions...
Gan, Gaoxiong (2002)
International Journal of Mathematics and Mathematical Sciences
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