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  1. Difference between weak and distributional derivatives

    Aug 1, 2021 · The concept of the distributional derivative is much weaker than that of a weak derivative. I think it's best to explain this in one dimension. Concerning your second question: …

  2. Distributional Derivative - Mathematics Stack Exchange

    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: …

  3. Evaluating an integral in the distributional sense?

    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 …

  4. Distributional limit. - Mathematics Stack Exchange

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

  5. Distributional Partial derivative - Mathematics Stack Exchange

    Sep 23, 2024 · Distributional Partial derivative . Ask Question Asked 1 year, 3 months ago Modified 1 year, 3 months ago

  6. measure theory - Distributional Laplacian of logarithm and the …

    Distributional Laplacian of logarithm and the Dirac delta distribution Ask Question Asked 12 years, 2 months ago Modified 8 years, 2 months ago

  7. What is Relationship Between Distributional and Fourier Series ...

    In the case of the distributional and Fourier series representations of the Dirac comb each representation transforms into the other representation which I suppose makes the …

  8. Regularity of distributional solutions to the heat equation

    Mar 10, 2025 · Question: Under which conditions can one show that the $\mu_t$ are (almost) all absolutely continuous w.r.t. to Lebesgue? Or, in other words, when are such distributional …

  9. ordinary differential equations - Distributional and weak solutions ...

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

  10. What is the intuition behind distributional derivative and why ...

    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 …