arXiv subjects

Rohit Jain

Publications and source records attributed to Rohit Jain.

22 records · Page 2Linked to original sources

arXiv2017

The Fully Nonlinear Stochastic Impulse Control Problem

In this paper, motivated by a problem in stochastic impulse control theory, we aim to study solutions to a free boundary problem of obstacle-type. We obtain sharp estimates for the solution using nonlinear tools which are independent of the modulus of semi-convexity of the obstacle. This allows us to state a general estimate for solutions to free boundary problems of obstacle-type admitting obstacles with a general modulus of semi-convexity. As an application we prove sharp estimates for the solution to a fully nonlinear stochastic impulse control problem.

math.AP↗

arXiv2016

The Classical Stochastic Impulse Control Problem

In this paper we study regularity estimates for the solution to an obstacle problem arising in stochastic impulse control theory. We prove using elementary methods the known sharp $C_{loc}^{1,1}$ estimate for the solution. The new proof is also easily generalizable to stochastic impulse control problems with fully noninear operators. Moreover we obtain new regularity estimates for the free boundary in the classical case.

math.AP↗

arXiv2015

Order of Magnitude of Fourier Coefficients for Almost Periodic Functions

We provide an introduction of some basic facts of uniformly almost periodic functions, such as Fourier series representations. A result is then proved about Fourier coefficients which is a generalization of the purely periodic case. We then provide an application of our estimate to the Riemann-Zeta Function.

math.CA↗

arXiv2009

Photogrammetric Measurements of a 12-metre Preloaded Parabolic Dish Antenna

A 12-metre Preloaded Parabolic Dish antenna, in which the backup structure is formed by preloading its radial and circumferential members, has been designed, built and commissioned by the Raman Research Institute, Bangalore. This paper reports the first-ever photogrammetric measurements of gravity-induced deformation in the primary reflector of an antenna built using this novel concept of preloading the backup structure. Our experience will be of relevance to radio astronomy and deep space network applications that require building lightweight and economical steerable parabolic antennas.

astro-ph.IM↗