Geodesic
Formulation and Analysis of a Parabolic Transmission Problem on Disjoint Intervals
Publications de l'Institut Mathématique, _N_S_91 (2012) no. 105, p. 111 .

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We investigate an initial-boundary-value problem for one dimensional parabolic equations in disjoint intervals. Under some natural assumptions on the input data we proved the well-posedness of the problem. Nonnegativity and energy stability of its weak solutions are also studied.
Classification : 35K20 35K99 35D05
Keywords: transmission problem, disjoint intervals, weak solution, nonnegativity preservation 
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     author = {Bo\v{s}ko S. Jovanovi\'c and Lubin G. Vulkov},
     title = {Formulation and {Analysis} of a {Parabolic} {Transmission} {Problem} on {Disjoint} {Intervals}},
     journal = {Publications de l'Institut Math\'ematique},
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Boško S. Jovanović; Lubin G. Vulkov. Formulation and Analysis of a Parabolic Transmission Problem on Disjoint Intervals. Publications de l'Institut Mathématique, _N_S_91 (2012) no. 105, p. 111 . http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a9/