Abstract
In this paper, we study the M-ellipticity of Fredholm pseudo-differential operators associated with weighted symbols on \(L^p({\mathbb {R}}^n)\), \(1< p < \infty \). We also prove the Gårding’s inequality for the hybrid class of pseudo-differential operators, namely SG M-elliptic operators. As an application, we obtained existence and uniqueness for parabolic type IVP with weighted symbols.
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Dasgupta, A., Mohan, L. M-Ellipticity of Fredholm Pseudo-differential Operators on \(L^p({\mathbb {R}}^n)\) and Gårding’s Inequality. J Geom Anal 33, 97 (2023). https://doi.org/10.1007/s12220-023-01192-2
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DOI: https://doi.org/10.1007/s12220-023-01192-2