arXiv subjects

Constantin Varsan

Publications and source records attributed to Constantin Varsan.

2 recordsLinked to original sources

arXiv2012

Gradient flows with jumps associated with nonlinear Hamilton-Jacobi equations with jumps

We analyze gradient flows with jumps generated by a finite set of complete vector fields in involution using some Radon measures $u\in \mathcal{U}_a$ as admissible perturbations. Both the evolution of a bounded gradient flow $\{x^u(t,ł)\in B(x^*,3\g)\subseteq \mbn: \,t\in[0,T],\,ł\in B(x^*,2\g)\}$ and the unique solution $ł=ψ^u(t,x)\in B(x^*,2\g)\subseteq \mbn$ of integral equation $x^u(t,ł)=x\in B(x^*,\g), \,t\in[0,T]$, are described using the corresponding gradient representation associated with flow and Hamilton-jacobi equations.

math.AP↗

arXiv2010

Partial Differential Equations An Introduction

This book encompasses both traditional and modern methods treating partial differential equation (PDE) of first order and second order. There is a balance in making a selfcontained mathematical text and introducing new subjects. The Lie algebras of vector fields and their algebraic-geometric representations are involved in solving overdetermined of PDE and getting integral representation of stochastic differential equations (SDE). It is addressing to all scientists using PDE in treating mathematical methods.

math.AP↗