Green's formulas and variational equations
Marc Atteia
TL;DR
This paper extends Green's formulas and variational equations from the linear Hilbertian case to the nonlinear Banach space setting, broadening their applicability in mathematical analysis.
Contribution
It introduces a nonlinear extension of Green's formulas and variational equations, building on prior linear Hilbertian results by Hanouzet and Joly.
Findings
Extended Green's formulas to Banach spaces
Generalized variational equations for nonlinear contexts
Broadened applicability of classical analysis tools
Abstract
In this paper, I give an extension to the banachic - non linear- case of the work of B. Hanouzet and J.L. Joly which is quoted below in the bibliography and which was elaborated in the hilbertian- linear- case.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsContact Mechanics and Variational Inequalities · Structural Analysis and Optimization · Topology Optimization in Engineering