Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Choudhury, Anupam Pal"'
Weyls law is a fundamental result governing the asymptotic behaviour of the eigenvalues of teh Laplacian. It states that for a compact d dimensional manifold M (without boundary), the eigenvalue counting function has an asymptotic growth, whose leadi
Externí odkaz:
http://arxiv.org/abs/2407.05274
Publikováno v:
SIAM J. Math. Anal., Volume 54, Number 1, Pages 791--817 (2022)
In this article, we consider a class of strictly hyperbolic triangular systems involving a transport equation. Such systems are known to create measure solutions for the initial value problem. Adding a stronger transversality assumption on the fields
Externí odkaz:
http://arxiv.org/abs/2402.16820
In this article, high frequency stability estimates for the determination of the potential in the Schr\"odinger equation are studied when the boundary measurements are made on slightly more than half the boundary. The estimates reflect the increasing
Externí odkaz:
http://arxiv.org/abs/2106.11153
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We deal with the point-interaction approximations for the acoustic wave fields generated by a cluster of highly contrasted bubbles for a wide range of densities and bulk moduli contrasts. We derive the equivalent fields when the cluster of bubbles is
Externí odkaz:
http://arxiv.org/abs/1811.02912
We deal with the linearized model of the acoustic wave propagation generated by small bubbles in the harmonic regime. We estimate the waves generated by a cluster of $M$ small bubbles, distributed in a bounded domain $\Omega$, with relative densities
Externí odkaz:
http://arxiv.org/abs/1801.07921
Publikováno v:
SIAM Journal on Mathematical Analysis, 50(4): 4282-4310, 2018
We consider the simplified Ericksen-Leslie model in three dimensional bounded Lipschitz domains. Applying a semilinear approach, we prove local and global well-posedness (assuming a smallness condition on the initial data) in critical spaces for init
Externí odkaz:
http://arxiv.org/abs/1709.06384
Autor:
Choudhury, Anupam Pal, Heck, Horst
In this article, we study the increasing stability property for the determination of the potential in the Schr\"odinger equation from partial data. We shall assume that the inaccessible part of the boundary is flat and homogeneous boundary condition
Externí odkaz:
http://arxiv.org/abs/1705.04127
We analyse mathematically the imaging modality using electromagnetic nanoparticles as contrast agent. This method uses the electromagnetic fields, collected before and after injecting electromagnetic nanoparticles, to reconstruct the electrical permi
Externí odkaz:
http://arxiv.org/abs/1705.01498
We establish existence and uniqueness results for initial boundary value problems with nearly incompressible vector fields. We then apply our results to establish well-posedness of the initial-boundary value problem for the Keyfitz and Kranzer system
Externí odkaz:
http://arxiv.org/abs/1610.00188