Aug 1, 2021 · My question is: what is the difference between this definition and the definition of distributional derivatives? From what I understood, the integral of ($\int_ {\Omega} u \varphi dx$) …

Jun 16, 2022 · There are locally integrable function which is not differentiable in classical sense but the regular distribution generated by the locally integrable function possess distributional derivative. …

Sep 20, 2025 · In Ahlfors' Quasiconformal Mapping( Second Edition), chapter2 B, he mentioned "distributional derivative" $\\phi_x$ and $\\phi_y$ without any definition. He wrote: for all …

Dec 10, 2020 · Distributional and weak solutions Ask Question Asked 5 years, 1 month ago Modified 4 years, 6 months ago

Sep 22, 2023 · When you say you're trying to prove this, what is the rigorous definition of the $\delta$ adn the limit that you're using? it's not a function, after all.

Mar 17, 2021 · I was wondering if the distributional derivative of the measure $\mu$ had something to do with the Radon-Nykodym derivative, or if they absolutely have nothing to do with each other (exept …

The Functional-Analysis and Analysis tags are appropriate here. But how is this question related to Distribution-Theory or Harmonic Analysis?

Feb 22, 2025 · In order to make sense of this value, we need to introduce the rigorous distribution theoretic definition of the Dirac delta and the distributional derivative. All of distribution theory derives …

Are weak derivatives and distributional derivatives different? Ask Question Asked 12 years, 5 months ago Modified 5 years, 9 months ago

Sep 21, 2024 · The relationship between "viscosity" and "distributional" can be found in the paper Hitoshi Ishii. On the equivalence of two notions of weak solutions, viscosity solutions and distribution …