Hyperbolic Equation,Linear Matrix Inequalities,Nonlinear Differential Equations,Nonlinear Hyperbolic Equations,Nonlinear Hyperbolic Systems,Nonlinear Partial Differential Equations,Nonlinear ...

Abstract: We establish that stabilization of a class of linear, hyperbolic partial differential equations (PDEs) with a large (nevertheless finite) number of components, can be achieved via employment ...

We study the classical linear partial differential equations: Poisson's equation and the heat equation. We learn about representation formulas for solutions, maximum principles, and energy estimates.

Her first class dissertation explored the mathematics and physics of one-dimensional single soliton and multi-soliton wave solutions of the Sine-Gordon nonlinear hyperbolic partial differential ...