4 papers · 1 filter
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…