Carleman type inequalities for fractional relativistic operators

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URI: https://hdl.handle.net/10902/27929
ISSN: 1139-1138
ISSN: 1988-2807
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Autoría
Roncal, Luz; Stan, DianaAutoridad Unican; Vega, Luis
Fecha
2023
Derechos
© Universidad Complutense de Madrid. Publicada por Springer. The final publication is available at Springer via https://doi.org/10.1007/s13163-021-00421-y
Publicado en
Revista Matematica Complutense, 2023, 36, 301-332
Editorial
Servicio de Publicaciones, Universidad Complutense
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Palabras clave
Fractional relativistic operators
Carleman estimates
Monotonicity estimates
Resumen/Abstract
In this paper we derive Carleman estimates for the fractional relativistic operator. We consider changing-sign solutions to the heat equation for such operators. We prove monotonicity inequalities and convexity of certain energy functionals to deduce Carleman estimates with linear exponential weight. Our approach is based on spectral methods and functional calculus.
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