Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Leo Tzou"'
Publikováno v:
Mathematical Methods in the Applied Sciences. 45:10027-10051
This paper considers the narrow escape problem of a Brownian particle within a three-dimensional Riemannian manifold under the influence of the force field. We compute an asymptotic expansion of mean sojourn time for Brownian particles. As an auxilia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b73934aa04a70b58a0489295190b809
https://doi.org/10.1002/mma.8354
https://doi.org/10.1002/mma.8354
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 150:202-240
We use geometric microlocal methods to compute an asymptotic expansion of mean first arrival time for Brownian particles on Riemannian manifolds. This approach provides a robust way to treat this problem, which has thus far been limited to very speci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ab83ded84dd3cec478f8063b2c8a8ef
https://doi.org/10.1016/j.matpur.2021.04.006
https://doi.org/10.1016/j.matpur.2021.04.006
Autor:
Francis J. Chung, Leo Tzou
Publikováno v:
Transactions of the American Mathematical Society, Series B. 7:97-132
We construct an explicit Green’s function for the conjugated Laplacian e − ω ⋅ x / h Δ e − ω ⋅ x / h e^{-\omega \cdot x/h}\Delta e^{-\omega \cdot x/h} , which lets us control our solutions on roughly half of the boundary. We apply the Gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b33538ac9c21df180bdd8989bbd3d640
https://doi.org/10.1090/btran/39
https://doi.org/10.1090/btran/39
Publikováno v:
Bulletin of the Australian Mathematical Society. 103:132-144
We extend existing methods which treat the semilinear Calderón problem on a bounded domain to a class of complex manifolds with Kähler metric. Given two semilinear Schrödinger operators with the same Dirchlet-to-Neumann data, we show that the inte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97272623da2270e17cae026dfebbfc26
https://doi.org/10.1017/s0004972720000428
https://doi.org/10.1017/s0004972720000428
Autor:
Leo Tzou, J. C. Tzou
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 19:2500-2529
Motivated by the model proposed by Gandhi et al. in [J. R. Soc. Interface, 15 (2018), 20180508], we propose a two-component reaction-advection-diffusion model for vegetation density and soil water ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::012ce22d9f6fb41fa1e052ca04be1450
https://doi.org/10.1137/20m1326271
https://doi.org/10.1137/20m1326271
In this article, we study stability estimates when recovering magnetic fields and electric potentials in a simply connected open subset in Rn with n≥3, from measurements on open subsets of its boundary. This inverse problem is associated with a mag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61764fc19cb589aec6643d83ab4543b3
http://urn.fi/URN:NBN:fi:jyu-202206103256
http://urn.fi/URN:NBN:fi:jyu-202206103256
Autor:
Leo Tzou, J. C. Tzou
Publikováno v:
Nonlinearity. 33:643-674
For the Schnakenberg activator-inhibitor model on a torus, in the singularly perturbed regime of small activator to inhibitor diffusivity ratio , we derive a reduced ODE describing the influence of curvature on the the slow drift dynamics of a single
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f45720cb18cdbafec09f9cd4805593d
https://doi.org/10.1088/1361-6544/ab5161
https://doi.org/10.1088/1361-6544/ab5161
Publikováno v:
HAL
International Mathematics Research Notices
International Mathematics Research Notices, Oxford University Press (OUP), In press
International Mathematics Research Notices
International Mathematics Research Notices, Oxford University Press (OUP), In press
In this article, we study the properties of the geodesic X-ray transform for asymptotically Euclidean or conic Riemannian metrics and show injectivity under non-trapping and no conjugate point assumptions. We also define a notion of lens data for suc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75263190027d2546c84e5da74ac78a1e
https://hal.archives-ouvertes.fr/hal-02324540
https://hal.archives-ouvertes.fr/hal-02324540
Autor:
Joel Andersson, Leo Tzou
Publikováno v:
Inverse Problems & Imaging. 12:1-28
We consider a magnetic Schrodinger operator \begin{document} $(\nabla^X)^*\nabla^X+q$ \end{document} on a compact Riemann surface with boundary and prove a \begin{document} $\log\log$ \end{document} -type stability estimate in terms of Cauchy data fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f020580142cc8a80a99481235b93add5
https://doi.org/10.3934/ipi.2018001
https://doi.org/10.3934/ipi.2018001
Autor:
Leo Tzou, Valter Pohjola
Publikováno v:
Communications in Mathematical Physics. 356:107-142
We prove a fixed frequency inverse scattering result for the magnetic Schrodinger operator (or connection Laplacian) on surfaces with Euclidean ends. We show that, under suitable decaying conditions, the scattering matrix for the operator determines
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::12850c481f129a442d1b72b4ca8f4358
https://doi.org/10.1007/s00220-017-2982-y
https://doi.org/10.1007/s00220-017-2982-y