Mean Exit Time from a Bumpy Sphere
نویسندگان
چکیده
منابع مشابه
Maximal Mean Exit Time Related To The p-Laplace Operator∗
In this paper we introduce a boundary value problem involving powers of the p-Laplace operator. We will then prove a variant of Talenti inequality which shows that the Schwarz symmetrization of the solution of the boundary value problem is majorized by the solution of the appropriately symmetrized version of the problem. The case of equality is also investigated. Finally, as an application, we ...
متن کاملA Lumpy Bumpy Liver
A 40-year-old male patient presented with distension of abdomen since last 4 years. The distension was progressive and more in upper abdomen. He also developed umbilical hernia since 1 year. There was no jaundice or bleeding. On examination, massive hepatomegaly till right iliac fossa with multiple nodular swellings was felt. The computed tomography of abdomen showed hepatomegaly of 36 cm in si...
متن کاملMean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian noise
Effects of non-Gaussian α−stable Lévy noise on the Gompertz tumor growth model are quantified by considering the mean exit time and escape probability of the cancer cell density from inside a safe or benign domain. The mean exit time and escape probability problems are formulated in a differential-integral equation with a fractional Laplacian operator. Numerical simulations are conducted to eva...
متن کاملReconstruction of a persistent random walk from exit time distributions
In this paper, we study the inverse problem of reconstructing the spatially dependent transition rate F (x) of a one-dimensional Broadwell process from exit time distributions. In such a process, an advecting particle is assumed to undergo transitions between states with constant positive (+v) and negative (−v) velocities. The goal is to reconstruct the transition rate function F (x) from the e...
متن کاملBumpy black holes from spontaneous Lorentz violation
We consider black holes in Lorentz violating theories of massive gravity. We argue that in these theories black hole solutions are no longer universal and exhibit a large number of hairs. If they exist, these hairs probe the singularity inside the black hole providing a window into quantum gravity. The existence of these hairs can be tested by future gravitational wave observatories. We generic...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1994
ISSN: 0002-9939
DOI: 10.2307/2160767