April 13, 2024Open Access

Existence of solutions for a class of integro-differential equations with the logarithmic Laplacian and transport

YCYuming ChenHebei University of Engineering VVVitali VougalterUniversity of Toronto

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Abstract

In this paper, we consider an integro-differential equation in L² (R), which involves the logarithmic Laplacian in the presence of a drift term. The linear operator associated with the problem has the Fredholm property. By using a fixed point technique, we establish the existence of solutions.

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Cite This Study

Chen et al. (Sat,) studied this question.

synapsesocial.com/papers/68e6f4d2b6db64358766fc79 https://doi.org/https://doi.org/10.48550/arxiv.2404.09019

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