Weak Form of Differential Equations and Differential Identities
Analysis of PDEs
2024-12-17 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
Inspired by quantum mechanics, we introduce a weak form of solutions for differential equations and differential identities like Stokes theorem and Euler-Lagrange equation. We show that Schr\"{o}dinger equation is a weak from of the classical Euler-Lagrange equation.
Keywords
Cite
@article{arxiv.2412.10886,
title = {Weak Form of Differential Equations and Differential Identities},
author = {Seyed Ebrahim Akrami},
journal= {arXiv preprint arXiv:2412.10886},
year = {2024}
}