Advances in Differential Equations and Control Processes
Volume 17, Issue 2, Pages 117 - 158
(May 2016) http://dx.doi.org/10.17654/DE017020117 |
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EXISTENCE OF SOLUTIONS FOR A QUASILINEAR PARABOLIC TYPE EQUATION CONTAINING p-CURL SYSTEM AND APPLICATIONS TO BLOW-UP AND EXTINCTION
Junichi Aramaki
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Abstract: We consider a system of quasilinear parabolic type equations involving operator curl associated with the Maxwell equations in a multi-connected domain and deal with the system containing p-curl system. We show the existence and blow-up or extinction of solution, under more general setting. |
Keywords and phrases: quasilinear parabolic type system, p-curl system, the Maxwell equations. |
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