Pointwise observation of the state given by complex time lag parabolic system
Various optimization problems for linear parabolic systems with multiple constant time lags are considered. In this paper, we consider an optimal distributed control problem for a linear complex parabolic system in which different multiple constant time ...
Kowalewski Adam
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TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS
Boundary value problems are considered on a simplex F in the real Euclidean space R2. The recent discovery of new families of special functions, orthogonal on F, makes it possible to consider not only the Dirichlet or Neumann boundary value problems on F,
Marzena Szajewska +1 more
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Correlation functions of boundary field theory from bulk Green's functions and phases in the boundary theory [PDF]
In the context of the bulk-boundary correspondence we study the correlation functions arising on a boundary for different types of boundary conditions. The most general condition is the mixed one interpolating between the Neumann and Dirichlet conditions.
Avis +12 more
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Homogenization of elliptic systems with Neumann boundary conditions [PDF]
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Kenig, Carlos E. +2 more
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Isospectral shapes with Neumann and alternating boundary conditions [PDF]
The isospectrality of a well-known pair of shapes constructed from two arrangements of seven congruent right isosceles triangles with the Neumann boundary condition is verified numerically to high precision. Equally strong numerical evidence for isospectrality is presented for the eigenvalues of this standard pair in new boundary configurations with ...
Driscoll, T., Gottlieb, Hans
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Boundary unique continuation theorems under zero Neumann boundary conditions [PDF]
Let u be a solution to a second order elliptic equation with singular potentials belonging to the Kato-Fefferman-Phong's class in Lipschitz domains. We prove the boundary unique continuation theorems and the doubling properties for u2 near the boundary under the zero Neumann boundary condition.
Tao, Xiangxing, Zhang, Songyan
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A PDE approach to large-time asymptotics for boundary-value problems for nonconvex Hamilton-Jacobi Equations [PDF]
We investigate the large-time behavior of three types of initial-boundary value problems for Hamilton-Jacobi Equations with nonconvex Hamiltonians.
Barles, Guy, Mitake, Hiroyoshi
core
A Neumann Boundary Term for Gravity
The Gibbons-Hawking-York (GHY) boundary term makes the Dirichlet problem for gravity well defined, but no such general term seems to be known for Neumann boundary conditions. In this paper, we view Neumann {\em not} as fixing the normal derivative of the
Krishnan, Chethan, Raju, Avinash
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Meningovascular Inflammation in Cerebral Amyloid Angiopathy‐Related Cortical Superficial Siderosis
ABSTRACT The role of inflammation in cortical superficial siderosis (cSS), a marker of cerebral amyloid angiopathy (CAA) linked to high hemorrhage risk, is unclear. We examined 15 patients with cSS using 3 T post‐contrast vessel wall MRI (VWI) and CSF analysis.
Philipp Arndt +8 more
wiley +1 more source
On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems
We prove the existence and uniqueness of solutions for a family of discrete boundary value problems by using discrete's Wirtinger inequality. The boundary condition is a combination of Dirichlet and Neumann boundary conditions.
Blaise Kone, Stanislas Ouaro
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