搜索结果: 1-7 共查到“偏微分方程 bound”相关记录7条 . 查询时间(0.093 秒)
A sharp bound on the L2 norm of the solution of a random elliptic difference equation
sharp bound L2 norm random elliptic difference equation
2015/7/14
We consider a stationary solution of the Poisson equation (λ − Lω)φλ(x; ω) = −∂∗b(x; ω), where λ > 0 and Lω is a random, discrete, elliptic operator given by Lωu(x) := ∂&...
Stability of bound states of Hamiltonian PDEs in the degenerate cases
Hamiltonian PDEs degenerate cases Analysis of PDEs
2011/9/14
Abstract: We consider a Hamiltonian systems which is invariant under a one-parameter unitary group. We give a criterion for the stability and instability of bound states for the degenerate case. We ap...
A natural lower bound for the size of nodal sets
natural lower bound size of nodal sets Analysis of PDEs
2011/9/14
Abstract: We prove a natural inequality which implies the known lower bounds for the $(n-1)$-dimensional Hausdorff measure of nodal sets for smooth compact manifolds.
A lower bound on blowup rates for the 3D incompressible Euler equation and a single exponential Beale-Kato-Majda estimate
lower bound blowup rates 3D incompressible Euler exponential Beale-Kato-Majda estimate
2011/8/23
Abstract: We prove a Beale-Kato-Majda criterion for the loss of regularity for solutions of the incompressible Euler equations in $H^{s}(\R^3)$, for $s>\frac52$. Instead of double exponential estimate...
Bound State Solutions of the Schrödinger Equation for Generalized Morse Potential With Position Dependent Mass
Position dependent mass Schr¨odinger Equation Generalized Morse potential
2011/1/19
The effective mass one-dimensional Schr¨odinger equation for the generalized Morse potential is solved by using Nikiforov-Uvarov method. Energy eigenvalues and corresponding eigenfunctions
are comput...
Numerical Continuation of resonances and bound states in coupled channel Schrödinger equations
Resonances Numerical Continuation Coupled Channels Schr¨odinger equation
2011/1/17
In this contribution, we introduce numerical continuation methods and bifurcation theory, techniques which find their roots in the study of dynamical systems,to the problem of tracing the parameter de...
Lower bound of the lifespan of solutions to semilinear wave equations in an exterior domain
Lower bound lifespan of solutions semilinear wave equations
2010/11/30
We consider the Cauchy-Dirichlet problem for semilinear wave equations in a three space dimensional domain exterior to a bounded and non-trapping obstacle. We obtain a detailed estimate for the lower ...