We prove local strong solvability of the oblique derivative problem for linear second-order parabolic equations in the case when the vector field, defining the boundary operator, can be tangent to the boundary and is of emergent type. A priori estimates in suitable Sobolev spaces are derived for the solution as well.
Local solvability of the parabolic Poincaré problem with emergent type vector field / Palagachev, D.K., Softova, L.G., Tramontano, S.. - In: JOURNAL OF THEORETICAL AND APPLIED MECHANICS. - ISSN 0861-6663. - STAMPA. - 56:(2026).
Local solvability of the parabolic Poincaré problem with emergent type vector field
Palagachev, Dian K.
;
2026
Abstract
We prove local strong solvability of the oblique derivative problem for linear second-order parabolic equations in the case when the vector field, defining the boundary operator, can be tangent to the boundary and is of emergent type. A priori estimates in suitable Sobolev spaces are derived for the solution as well.File in questo prodotto:
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