Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case
نویسندگان
چکیده
In this paper we consider a fractional wave equation for hypoelliptic operators with singular mass term depending on the spacial variable and prove that it has very weak solution. Such analysis can be conveniently realised in setting of graded Lie groups. The uniqueness solution, consistency classical solution are also proved, under suitable considerations. This extends improves results obtained first part [Altybay et al. Fractional Klein-Gordon mass. Chaos Solitons Fractals. 2021;143:Article ID 110579] which was devoted to Euclidean equation.
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ژورنال
عنوان ژورنال: Complex Variables and Elliptic Equations
سال: 2021
ISSN: ['1747-6941', '1747-6933']
DOI: https://doi.org/10.1080/17476933.2021.1950146