We continue our work in \cite{PSfT} by proving global strong sol\-va\-bi\-li\-ty of the Poincar\'e problem for linear, second-order uniformly parabolic equations in the case of emergent type vector field. The solvability result is obtained via the Fredholm alternative, on the base of precise a priori estimates in suitable parabolic Sobolev spaces.
Global Solvability of the Parabolic Poincarè Problem
Dian PalagachevMembro del Collaboration Group
;Lyoubomira Softova
Membro del Collaboration Group
;Salvatore TramontanoMembro del Collaboration Group
In corso di stampa
Abstract
We continue our work in \cite{PSfT} by proving global strong sol\-va\-bi\-li\-ty of the Poincar\'e problem for linear, second-order uniformly parabolic equations in the case of emergent type vector field. The solvability result is obtained via the Fredholm alternative, on the base of precise a priori estimates in suitable parabolic Sobolev spaces.File in questo prodotto:
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