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On Titchmarsh-Weyl functions of first-order symmetric systems with arbitrary deficiency indices
First-order symmetric system decomposing boundary triplet Nevanlinna boundary conditions m-function
2012/6/19
We study general (not necessarily Hamiltonian) first-order symmetric systems $J y'(t)-B(t)y(t)=\D(t) f(t)$ on an interval $[a,b> $ with the regular endpoint $a$. The deficiency indices $n_\pm$ of the ...
Multiscale Homogenizations for first-order Hamilton-Jacobi-Bellman Equations
Multiscale Homogenizations first-order Hamilton-Jacobi-Bellman Equations
2011/2/22
In this paper, we are concerned with the asymptotic behaviors of the solu-tions u"(x, t) and u"(x) of the first-order Hamilton-Jacobi-Bellman equations (H-J-Bs in short) as " = ("1, ..., "n, ..., "N)∈...
First-Order System Least Squares and the Energetic Variational Approach for Two-Phase Flow
First-Order System Least Squares Energetic Variational Approach Two-Phase Flow
2010/12/14
This paper develops a rst-order system least-squares (FOSLS) formulation for equations of two-phase ow. The main goal is to show that this discretization, along with numerical
techniques such as nes...
lower bound of the first eigenvalue of certain self-adjoint elliptic operators on manifolds containing long necks
lower bound manifolds containing long necks certain self-adjoint elliptic operators
2010/3/5
In this note, under certain regularity and transversality conditions we obtain a sharp lower bound of the first eigenvalue for certain self-adjoint elliptic operators on manifolds with long necks. Thi...