Add to ORKGWe consider the initial-boundary value problem in a two dimensional exterior domain for the dissipative wave equation (∂2ｔ+∂- △)u= 0 with the homogeneous Dirichlet boundary condition. Using the so-called cut-off technique together with the local energy estimateand L1 and L2 estimates in the whole space，we derive the LP estimates with 1≤p≤∞ for the solution
AbstractIn this note, we prove the global well posedness and the local energy decay for semilinear w...
The 2D Euler equations with random initial condition has been investigates by Albeverio and Cruzeiro...
Sharp estimates for the resolvent of a linear elliptic second-order partial differential operator un...
AbstractWe study the exterior initial–boundary value problem for the linear dissipative wave equatio...
AbstractConsider the initial boundary value problem for the linear dissipative wave equation (□+∂t)u...
We consider the Cauchy problem for non-degenerate Kirchhoff type dissipative wave equations ρu′′+ a ...
Consider the Cauchy problem for the non-degenerate Kirchhoff type dissipative wave equations with th...
Consider the Cauchy problem for the dissipative wave equation : utt − Δu + u = 0, u = u(x; t) in RN ...
We study on the Cauchy problem for non-degenerate Kirchhoff type dissipative wave equations ρu′′ + a...
AbstractUniform energy and L2 decay of solutions for linear wave equations with localized dissipatio...
Consider the initial-boundary value problem for the degenerate Kirchhoff type wave equation with str...
AbstractLet H, V be two real Hilbert spaces such that V⊂H with continuous and dense imbedding, and l...
Under the assumption that the initial data belong to suitable Sobolev spaces, we derive the better d...
AbstractThis paper is concerned with the dissipativity of Volterra functional differential equations...
AbstractWe show that the energy of solutions to the initial boundary value problem for the wave equa...
AbstractIn this note, we prove the global well posedness and the local energy decay for semilinear w...
The 2D Euler equations with random initial condition has been investigates by Albeverio and Cruzeiro...
Sharp estimates for the resolvent of a linear elliptic second-order partial differential operator un...
AbstractWe study the exterior initial–boundary value problem for the linear dissipative wave equatio...
AbstractConsider the initial boundary value problem for the linear dissipative wave equation (□+∂t)u...
We consider the Cauchy problem for non-degenerate Kirchhoff type dissipative wave equations ρu′′+ a ...
Consider the Cauchy problem for the non-degenerate Kirchhoff type dissipative wave equations with th...
Consider the Cauchy problem for the dissipative wave equation : utt − Δu + u = 0, u = u(x; t) in RN ...
We study on the Cauchy problem for non-degenerate Kirchhoff type dissipative wave equations ρu′′ + a...
AbstractUniform energy and L2 decay of solutions for linear wave equations with localized dissipatio...
Consider the initial-boundary value problem for the degenerate Kirchhoff type wave equation with str...
AbstractLet H, V be two real Hilbert spaces such that V⊂H with continuous and dense imbedding, and l...
Under the assumption that the initial data belong to suitable Sobolev spaces, we derive the better d...
AbstractThis paper is concerned with the dissipativity of Volterra functional differential equations...
AbstractWe show that the energy of solutions to the initial boundary value problem for the wave equa...
AbstractIn this note, we prove the global well posedness and the local energy decay for semilinear w...
The 2D Euler equations with random initial condition has been investigates by Albeverio and Cruzeiro...
Sharp estimates for the resolvent of a linear elliptic second-order partial differential operator un...