The heat equation with strongly singular potentials

DOI10.1016/j.amc.2021.126006OpenAlexW3127847191MaRDI QIDQ2242633

Mohammed Elamine Sebih, Arshyn Altybay, N. E. Tokmagambetov, Michael Ruzhansky

Publication date: 10 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.11255

zbMATH Keywords

heat equationregularisationnumerical analysisgeneralised solutionsingular potentialdelta functionmollifierdistributional coefficient

Mathematics Subject Classification ID

Heat equation (35K05) Singular parabolic equations (35K67)

Related Items (7)

Fractional Schrödinger equations with singular potentials of higher order. II: Hypoelliptic case ⋮ The heat equation with singular potentials. II: Hypoelliptic case ⋮ Stochastic parabolic equations with singular potentials ⋮ Inhomogeneous wave equation with \(t\)-dependent singular coefficients ⋮ Wave equation for Sturm-Liouville operator with singular intermediate coefficient and potential ⋮ The Euler-Bernoulli equation with distributional coefficients and forces ⋮ Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case

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