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.
2027
Thirteenth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES 2026) 1-4 September 2026, Sozopol, Bulgaria
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).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/308520
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