Consider an evolution equation with energy dissipation, ${\textstyle\frac{\partial}{\partial t}}y(x,t)=Ay(x,t)+By(x,t)$ on a bounded x-domain Ω, where By signifies a dissipative perturbation to an ...

Recall that the solution of the initial-value problem \(y^\prime=ky\text{,}\) \(y(0)=A\text{,}\) is given by \(\ds y=Ae^{kx}\text{.}\) Solve the following problems ...

We consider, in an abstract setting, an instance of the Coleman-Gurtin model for heat conduction with memory, that is, the Volterra integro-differential equation ${\partial _t}u(t) - \beta \Delta u(t) ...

Dr. McLaren is an associate professor at the University of Maryland, Baltimore County, who studies policies to combat infectious disease epidemics, including Covid-19. The United States has vaccinated ...

Recall that the solution of the initial-value problem \(y^\prime=ky\text{,}\) \(y(0)=A\text{,}\) is given by \(\ds y=Ae^{kx}\text{.}\) Solve the following problems ...