Carleman estimates for higher order partial differential operators and its applications [PDF]
In this paper, we obtain a Carleman estimate for the higher order partial differential operator. In the process of establishing this estimate, we developed a new method, which is called the back-propagation method (the BPM, for short).
Gao, Yuan, Fu, Xiaoyu
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The Fractal Tapestry of Life: II Entailment of Fractional Oncology by Physiology Networks. [PDF]
Front Netw Physiol, 2022 West BJ.
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Surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes defined by sequences with shifted moments. [PDF]
J Inequal ApplJiménez-Garrido J +3 more
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The global inverse fractional conductivity problem. [PDF]
Calc Var Partial Differ EquCovi G, Railo J, Zimmermann P.
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Hypoellipticity of analytic differential operators in general ultradifferentiable classes. [PDF]
J Pseudodiffer Oper ApplFürdös S.
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A Phragmén-Lindelöf Theorem via Proximate Orders, and the Propagation of Asymptotics. [PDF]
J Geom Anal, 2020 Jiménez-Garrido J, Sanz J, Schindl G.
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Classification of Atmospheric Traveling Waves at Cloud Level. [PDF]
Arch Ration Mech AnalConstantin A, Lin Z, Zhu H.
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Quantum algorithms for viscosity solutions to nonlinear Hamilton-Jacobi equations based on an entropy penalization method. [PDF]
Proc Natl Acad Sci U S AJin S, Liu N.
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Carleman estimates for the time-fractional advection-diffusion equations and applications
In this article, we prove Carleman estimates for the generalized time-fractional advection-diffusion equations by considering the fractional derivative as perturbation for the first order time-derivative. As a direct application of the Carleman estimates,
Huang X., Li Z., Yamamoto M.
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