Results 171 to 180 of about 943 (215)

The Neumann problem in a cone

, 2000
V. Kozlov, V. Maz’ya, J. Rossmann
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Studies on the ∂[￣]-Neumann problem and the ∂[￣]-problem

, 1996
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The neumann problem

Lithuanian Mathematical Journal, 1991
The author gives a refinement of \textit{V. A. Kondrat'ev}'s result on boundary value problems for elliptic equations in a domain with conic corners [Tr. Mosk. Mat. O.-va 16, 209--292 (1967; Zbl 0162.16301)]. Let \(K\) be the angle on the plane \(x=(x_1,x_2):00\), \(r=\sqrt{x_1^2+x_2^2}\).
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Conjugate Points Revisited and Neumann–Neumann Problems

SIAM Review, 2009
The theory of conjugate points in the calculus of variations is reconsidered with a perspective emphasizing the connection to finite-dimensional optimization. The object of central importance is the spectrum of the second-variation operator, analogous to the eigenvalues of the Hessian matrix in finite dimensions.
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GAUGE THEOREM FOR THE NEUMANN PROBLEM

1986
Let D be a bounded domain in IRd and let (Δ/2 + q)u = 0 be Schrodinger’s equation on D. The Dirichlet problem for the equation was studied first in [2] for bounded q and then in [1] and [4] for q ∈ Kd (see below for definition). The gauge function for the Dirichlet problem is defined in [2] as $${\text{G(x)}}{\mkern 1mu} {\text{ = }}{\mkern 1mu} {{{
K. L. Chung, Pei Hsu
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Neumann Problems and Steiner Symmetrization

Communications in Partial Differential Equations, 2005
ABSTRACT In the present paper we prove some comparison results via Steiner symmetrization for solutions to the Neumann problem where T > 0, Ω is a smooth connected open bounded subset of ℝ n , the coefficients a ij (x, y) and the datum f are smooth functions such that a ij (x, y)ξ i ξ j  ≥ |ξ|2, for any (x, y) ∈ G, for any ξ ∈ ℝ n and ∈ t G f dx dy = 0.
FERONE, VINCENZO, MERCALDO, ANNA
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The ̄∂-Neumann Problem

1996
Here we study a boundary problem arising in the theory of functions of several complex variables.
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Probabilistic approach to the neumann problem

Communications on Pure and Applied Mathematics, 1985
AbstractThe basic problem considered in this paper is to solve the following Neumann boundary value problem probabilistically:magnified image where we assume that q is in a certain functional class to be specified below, and φ is a bounded measurable function on the boundary.
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Symmetrization in parabolic neumann problems

Applicable Analysis, 1991
We consider the Cauchy-Neumann problem for parabolic operators of the kind: on a smooth cylinder [0,T]×Ω. By symmetrization techniques we establish for the solution u of this problem an estimate of the kind: where U is the solution of a symmetrized problem and u(t)*(·) is the decreasing rearrangement of u(t,.).
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