M. Shakipov

activity

20242026

collaborators

4 papers

math.AP2026

$L^{p}$ -based Sobolev theory on closed manifolds of minimal regularity: Scalar Elliptic Equations

Gonzalo A. Benavides, Ricardo H. Nochetto, Mansur Shakipov

This paper and its follow-up arXiv:2508.11109 are concerned with the well-posedness and $L^{p}$ -based Sobolev regularity for appropriate weak formulations of a family of pro…

math.NA2025

Surface Stokes Without Inf-Sup Condition

Ricardo H. Nochetto, Mansur Shakipov

For a $d$ -dimensional hypersurface of class $C^{3}$ without boundary, we reformulate the surface Stokes equations as a nonsymmetric indefinite elliptic problem governed by two Laplac…

math.AP2025

$L^{p}$ -based Sobolev theory on closed manifolds of minimal regularity: Vector-valued problems

Gonzalo A. Benavides, Ricardo H. Nochetto, Mansur Shakipov

This paper is the second part of a two-paper series, initiated in arXiv:2603.02163 for scalar PDEs on hypersurfaces, and is concerned with the well-posedness and $L^{p}$ -bas…

math.NA2024

Inf-Sup Stability of Parabolic TraceFEM

Lucas Bouck, Ricardo H. Nochetto, Mansur Shakipov +1

We develop a parabolic inf-sup theory for a modified TraceFEM semi-discretization in space of the heat equation posed on a stationary surface embedded in $R^{n}$ . We conside…

Lp-based Sobolev theory on closed manifolds of minimal regularity: Scalar Elliptic Equations

Surface Stokes Without Inf-Sup Condition

Lp-based Sobolev theory on closed manifolds of minimal regularity: Vector-valued problems

Inf-Sup Stability of Parabolic TraceFEM

$L^{p}$ -based Sobolev theory on closed manifolds of minimal regularity: Scalar Elliptic Equations

$L^{p}$ -based Sobolev theory on closed manifolds of minimal regularity: Vector-valued problems