1 citations · 2 across the 7 of their papers we have counts for
7 papers
Observability for wave equations with critically singular potentials
Vaibhav Kumar Jena, Arick Shao
In this article, we prove boundary observability estimates for wave equations on bounded domains , with a critically singular potential that diverges as th…
Control and homogenization of a coupled hyperbolic system with an oscillating coefficient
Vaibhav Kumar Jena, Abu Sufian
We study the control and homogenization properties of a coupled hyperbolic system characterised by a rapidly oscillating coefficient present in the principal term. Due to the high-…
Uniqueness of solution for ultrahyperbolic equations with lower order terms
Vaibhav Kumar Jena
In this article, we prove a variety of uniqueness results for ultrahyperbolic equations with general space and time dependent lower order terms. We address the problem of determini…
Control and homogenization of a system of coupled parabolic equations with an oscillating coefficient
Vaibhav Kumar Jena, Abu Sufian
In this article, we study the uniform null controllability problem for a system of coupled parabolic equations with an oscillating coefficient. This is done in three steps -- first…
Interior control of waves on time dependent domains
Vaibhav Kumar Jena
We obtain a novel interior control result for wave equations on time dependent domains. This is done by deriving a suitable Carleman estimate and proving the corresponding observab…
Control of waves on Lorentzian manifolds with curvature bounds
Vaibhav Kumar Jena, Arick Shao
We prove boundary controllability results for wave equations (with lower-order terms) on Lorentzian manifolds with time-dependent geometry satisfying suitable curvature bounds. The…
Carleman Estimate for Ultrahyperbolic Operators and Improved Interior Control for Wave Equations
Vaibhav Kumar Jena
In this article, we present a novel Carleman estimate for ultrahyperbolic operators, in . Then, we use a special case of this estimate to ob…