Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case

DOI10.1080/17476933.2021.1950146zbMath1486.35145arXiv2105.12862OpenAlexW3177665606MaRDI QIDQ5862381

Michael Ruzhansky, Marianna Chatzakou, N. E. Tokmagambetov

Publication date: 9 March 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12862

zbMATH Keywords

Cauchy problemKlein-Gordon equationexistence and uniqueness of very weak solutionsRockland operator on a graded Lie group

Mathematics Subject Classification ID

Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Analysis on specific locally compact and other abelian groups (43A70) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (4)

Fractional Schrödinger equations with singular potentials of higher order. II: Hypoelliptic case ⋮ The heat equation with singular potentials. II: Hypoelliptic case ⋮ Wave equation for Sturm-Liouville operator with singular intermediate coefficient and potential ⋮ Schrödinger equation with singular position dependent mass

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