I. Kmit

activity

20042026

most citedClassical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems

36 citations · 164 across the 37 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.AP2011★ 12 cited

Periodic Solutions to Dissipative Hyperbolic Systems. I: Fredholm Solvability of Linear Problems

I. Kmit, L. Recke

This paper concerns linear first-order hyperbolic systems in one space dimension of the type $$ \partial_tu_j + a_j(x,t)\partial_xu_j + \sum\limits_{k=1}^nb_{jk}(x,t)u_k = f_j(x,t)…

math.FA2011★ 2 cited

$C^{1}$ -smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions

Irina Kmit

We consider a class of Nemytskii superposition operators that covers the nonlinear part of traveling wave models from laser dynamics, population dynamics, and chemical kinetics. Ou…

math.AP2011★ 5 cited

Fredholm Solvability of Periodic Neumann Problem for a Linear Telegraph Equation

Irina Kmit

We investigate the linear telegraph equation $u_{tt} - u_{xx} + 2 μ u_{t} = f (x, t)$ with periodic Neumann boundary conditions. We prove that the operator of the problem is modeled as a F…

Periodic Solutions to Dissipative Hyperbolic Systems. I: Fredholm Solvability of Linear Problems

C1-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions

Fredholm Solvability of Periodic Neumann Problem for a Linear Telegraph Equation

$C^{1}$ -smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions