Well-posedness theory for electromagnetic obstacle problems
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DOI: 10.1016/j.jde.2020.05.009
Abstract: Abstract This paper develops a well-posedness theory for hyperbolic Maxwell obstacle problems generalizing the result by Duvaut and Lions (1976) [5] . Building on the recently developed result by Yousept (2020) [30] , we prove… read more here.
Keywords: posedness theory; obstacle; well posedness; constraint ... See more keywords
Global well-posedness theory for a class of coupled parabolic-elliptic systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.123923
Abstract: Abstract We consider a fully coupled system consisting of a parabolic equation, with boundary and initial conditions, and an abstract elliptic equation in a variational form with time as a parameter. Such systems appear in… read more here.
Keywords: system; theory class; class coupled; global well ... See more keywords