Formulation and analysis of a parabolic transmission problem on disjoint intervals | Zendy

Boško S. Jovanović | Zendy; Lubin G. Vulkov | Zendy

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Formulation and analysis of a parabolic transmission problem on disjoint intervals

Author(s) -

Boško S. Jovanović,

Lubin G. Vulkov

Publication year - 2012

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1205111j

Subject(s) - disjoint sets , mathematics , boundary value problem , stability (learning theory) , parabolic partial differential equation , transmission (telecommunications) , mathematical analysis , boundary (topology) , energy (signal processing) , mathematical optimization , computer science , partial differential equation , statistics , telecommunications , machine learning

We investigate an initial-boundary-value problem for one d imen- sional parabolic equations in disjoint intervals. Under some natural assump- tions on the input data we proved the well-posedness of the problem. Nonneg- ativity and energy stability of its weak solutions are also studied.

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