Applicable Analysis

IF

Papers

Papers 4309

1 page of 431 pages (4,309 results)

Newest

Weak-subdifferentials for vector functions and applications to multiobjective semi-infinite optimization problems

ABSTRACTIn this paper, the stabilization problem of one-dimensional Schrodinger equation with boundary disturbance is concerned. The variable structure control technique is adopted to design the nonlinear feedback controller. For the Schrodinger system, the observation blind point problem is discussed and the relationship between the initial data and observation blind point is given. According to a theorem which can be regarded as an extended version of the Lions–Lax–Milgram theorem, the existen...

This paper establishes the local existence, uniqueness and a blow-up criterion for the solutions to the inviscid incompressible Euler equation in Triebel–Lizorkin–Morrey space . As an application, we also derive the global persistence of the initial regularity in Triebel–Lizorkin–Morrey space for the solutions of 2-D Euler equation. These results are established using the logarithmic inequality of Beal–Kato–Majda type, the Moser type of inequality and commutator estimates in Triebel–Lizorkin–Mor...

Discontinuous finite element methods have proven their numerical accuracy and flexibility, but they are still criticized for requiring high number of degrees of freedom for computation. There have been some advances with Hybridizable Discontinuous Galerkin (HDG) approximations but essentially in the time-harmonic regime, because the time integration requires implicit schemes. Another possibility to explore seems to be Trefftz methods, which distinguish themselves by the choice of basis functions...

ABSTRACTThis paper concerns the direct sampling method for solving the inverse problem of identifying point sources for the Helmholtz equation from far-field data. We develop some novel indicator functions which could determine the locations and intensities of the target multipolar sources with a single wavenumber. Theoretically, the indicating behaviors are rigorously analyzed. Two- and three-dimensional numerical experiments are conducted to illustrate the effectiveness and robustness of the p...

Liouville type results for positive radial entire solutions of the weighted Lane–Emden system are established, where , satisfy , i=1,2. Meanwhile, classification of singularities at the origin of positive radial solutions of this system on the punctured unit ball and singular positive radial solutions of the Dirichlet problem of this system in the unit ball are also obtained.

ABSTRACTWe consider the Dirac operator with a periodic potential on the half-line with the Dirichlet boundary condition at zero. Its spectrum consists of an absolutely continuous part plus at most ...

12345678910