We continue our previous work by proving global strong solvability of the Poincaré 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 Strong Solvability of the Parabolic Poincaré Problem with Emergent Type Vector Field / Palagachev, D.K., Softova, L.G., Tramontano, S.. - STAMPA. - Springer Proceedings in Mathematics & Statistics:(2027). (Thirteenth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES 2026) 1-4 September 2026, Sozopol, Bulgaria Sozopol, Bulgaria 1-4 September 2026).
Global Strong Solvability of the Parabolic Poincaré Problem with Emergent Type Vector Field
Palagachev, D. K.
;
2027
Abstract
We continue our previous work by proving global strong solvability of the Poincaré 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.


