N. Artamonov

activity

20102019

collaborators

Showing math.SPShow all

2 papers · 1 filter

math.SP2011

On exponential decay rate of semigroup associated with second order linear differential equation in Hilbert space with strong damping operator

Nikita V. Artamonov

We obtain estimate of the exponential decay rate of semigroup associated with second order linear differential equation $u " + D u^{'} + A u = 0$ in Hilbert space. We assume that $A$ is a self…

math.SP2010

Exponential decay of semigroups for second order non-selfadjoint linear differential equations

Nikita Artamonov

The Cauchy problem for second order linear differential equation $u^{''} (t) + D u^{'} (t) + A u (t) = 0$ in Hilbert space $H$ with a sectorial operator $A$ and an accretive operator $D$ is studied…