Rajan Puri

collaborators

4 papers

math.FA2021

Solvability of Inclusions Involving Perturbations of Positively Homogeneous Maximal Monotone Operators

Dhruba R. Adhikari, Ashok Aryal, Ghanshyam Bhatt +3

Let $X$ be a real reflexive Banach space and $X^{*}$ be its dual space. Let $G_{1}$ and $G_{2}$ be open subsets of $X$ such that $G ˉ_{2} \subset G_{1}$ , $0 \in G_{2}$ , and $G_{1}$ is bounded.…

math.AP2020

Non-uniqueness for the ab family of equations in periodic case

Rajan Puri

For the cubic ab-family of equations with $a \neq = 0$ , it is proved that there exists an initial data in the Sobolev space $H^{s}$ , $s < 3/2$ , with non-unique solutions on the circle.

math-ph2020

Beta Critical for the Schrodinger Operator with Delta Potential

Rajan Puri

For the one dimensional Schrödinger operator in the case of Dirichlet boundary condition, we show that $β_{cr}$ is positive and zero for the case of Neumann and Robin boundary cond…

math.AP2020

Non-uniqueness for the ab-family of equations

John Holmes, Rajan Puri

We study the cubic ab-family of equations, which includes both the Fokas-Olver-Rosenau-Qiao (FORQ) and the Novikov (NE) equations. For $a \neq = 0$ , it is proved that there exist initi…