3 citations · 7 across the 6 of their papers we have counts for
6 papers
On the blow-up for critical semilinear wave equations with damping in the scattering case
Kyouhei Wakasa, Borislav Yordanov
We consider the Cauchy problem for semilinear wave equations with variable coefficients and time-dependent scattering damping in , where . It is expected tha…
Blow-up of solutions to critical semilinear wave equations with variable coefficients
Kyouhei Wakasa, Borislav Yordanov
We verify the critical case of Strauss' conjecture (1981) concerning the blow-up of solutions to semilinear wave equations with variable coefficients in ,…
Global Regularity for Supercritical Nonlinear Dissipative Wave Equations in 3D
Kyouhei Wakasa, Borislav Yordanov
The nonlinear wave equation is shown to be globally well-posed in the Sobolev spaces of radially symmetric functions $H^k_{\rm rad}({\bf R}^3)\times H…
On the Existence of Drifting Orbits for Non-Convex Hamiltonian Systems
Borislav Yordanov, Roumyana Yordanova
We show the existence of drifting orbits for certain perturbations of non-convex Hamiltonian systems with several degrees of freedom. These orbits remain in the vicinity of resonan…
Higher order energy decay rates for damped wave equations with variable coefficients
Petronela Radu, Grozdena Todorova, Borislav Yordanov
Under appropriate assumptions the energy of wave equations with damping and variable coefficients has been shown to decay. Deter…
Finite time blow up for critical wave equations in high dimensions
Borislav T. Yordanov, Qi S. Zhang
We prove that solutions to the critical wave equation below can not be global if the initial values are positive somewhere and nonnegative. This completes the solution to the famou…