Add to ORKGConsider the Cauchy problem for the non-degenerate Kirchhoff type dissipative wave equations with the initial data belonging to H2(RN)×H1(RN) in unbounded domains. When the coefficient ρ or the initial energy E(0) is small at least, we show the global existence theorem and derive decay estimates of energies in the L2-frame. Moreover, when the initial data belong to L1(RN)×L1(RN) in addition, we improve the decay rates of the solutions
AbstractWe prove an “almost conservation law” to obtain global-in-time well-posedness for the nonlin...
We study on the Cauchy problem for non-degenerate Kirchhoff type dissipative wave equations ρu′′ + a...
We consider NLS on $T^2$ with multiplicative spatial white noise and nonlinearity between cubic and...
Consider the initial boundary value problem for degenerate dissipative wave equations of Kirchhoff t...
Under the assumption that the initial data belong to suitable Sobolev spaces, we derive the better d...
Consider the Cauchy problem for the non-degenerate Kirchhoff type dissipative wave equations with th...
AbstractBetter decay estimates to the 1-dimensional Cauchy problem on R to the linear equation □u+ut...
AbstractWe consider the hyperbolic–parabolic singular perturbation problem for a degenerate quasilin...
We study the behavior at infinity of the solutions of damped Kirchhoff equation when the nonlineari...
AbstractWe show that the energy of solutions to the initial boundary value problem for the wave equa...
We study the two dimensional Navier–Stokes initial boundary value problem in exterior domains assumi...
We study the existence and scattering of global small amplitude solutions to modified improved Bouss...
We consider the Cauchy problem for non-degenerate Kirchhoff type dissipative wave equations ρu′′+ a ...
In this paper we prove global well-posedness and scattering for the defocusing, intercritical nonlin...
AbstractWe study the problem of decay rate for the solutions of the initial–boundary value problem t...
AbstractWe prove an “almost conservation law” to obtain global-in-time well-posedness for the nonlin...
We study on the Cauchy problem for non-degenerate Kirchhoff type dissipative wave equations ρu′′ + a...
We consider NLS on $T^2$ with multiplicative spatial white noise and nonlinearity between cubic and...
Consider the initial boundary value problem for degenerate dissipative wave equations of Kirchhoff t...
Under the assumption that the initial data belong to suitable Sobolev spaces, we derive the better d...
Consider the Cauchy problem for the non-degenerate Kirchhoff type dissipative wave equations with th...
AbstractBetter decay estimates to the 1-dimensional Cauchy problem on R to the linear equation □u+ut...
AbstractWe consider the hyperbolic–parabolic singular perturbation problem for a degenerate quasilin...
We study the behavior at infinity of the solutions of damped Kirchhoff equation when the nonlineari...
AbstractWe show that the energy of solutions to the initial boundary value problem for the wave equa...
We study the two dimensional Navier–Stokes initial boundary value problem in exterior domains assumi...
We study the existence and scattering of global small amplitude solutions to modified improved Bouss...
We consider the Cauchy problem for non-degenerate Kirchhoff type dissipative wave equations ρu′′+ a ...
In this paper we prove global well-posedness and scattering for the defocusing, intercritical nonlin...
AbstractWe study the problem of decay rate for the solutions of the initial–boundary value problem t...
AbstractWe prove an “almost conservation law” to obtain global-in-time well-posedness for the nonlin...
We study on the Cauchy problem for non-degenerate Kirchhoff type dissipative wave equations ρu′′ + a...
We consider NLS on $T^2$ with multiplicative spatial white noise and nonlinearity between cubic and...