Results 311 to 320 of about 11,399,904 (367)

On the Regularity Problem for Parabolic Operators and the Role of Half-Time Derivative. [PDF]

J Geom Anal
Dindoš M.
europepmc   +1 more source

Microbes Under Climate Refugia: Equable Subcommunity Rank Dynamics in Large-River Deltaic Estuaries. [PDF]

Ecol Evol
Liu H, Zhong Z, Xu J, Qu L, Liu H, Zheng F, Zhang C, Xie W.   +7 more
europepmc   +1 more source

Virtual reality in undergraduate and postgraduate nursing education: a scoping review protocol integrating data mining for topic discovery. [PDF]

MethodsX
Ronchi S, Caruso R, Fabrizi D, Luciani M, Alfes CM, Colley N, Magon A, Conte G, Valli A, Terzoni S, Cilluffo S, Lusignani M, Ausili D.   +12 more
europepmc   +1 more source

User Satisfaction With Pregnancy Management Apps in Mainland China: User-Generated Content Analysis and Text Mining Study.

J Med Internet Res
Jiao X, Jiang L, Zhao M, Ma J, Li Y, Shen T, Liu Y, Hu Y, Lu Z, Xing M, Liang J, Xiang P, Lei J.   +12 more
europepmc   +1 more source

The Dirichlet Problem [PDF]

, 2009
In this chapter, approximation of solutions of Laplace’s equation requires the study of sequences of harmonic functions, making use of the integral representations and averaging properties of harmonic functions. The latter property is used to incorporate a larger class of functions called superharmonic functions that are used to approximate solutions ...
L. L. Helms
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Green's function of Dirichlet problem for biharmonic equation in the ball

Complex Variables and Elliptic Equations, 2018
An explicit representation of the Green's function of the Dirichlet problem for the biharmonic equation in the unit ball is given. Expansion of the constructed Green's function in the complete system of homogeneous harmonic polynomials that are ...
V. Karachik
semanticscholar   +1 more source

On a Constrained Dirichlet Problem

SIAM Journal on Control and Optimization, 2002
Summary: We consider a Dirichlet minimum problem with a pointwise constraint on the gradient, i.e., \(\| \nabla u(x)\| \leq 1\) a.e., or, equivalently, an unconstrained minimum problem with an extended-valued integrand. Since the subdifferential of this integrand is defined on the whole effective domain, the problem of the validity of the Euler ...
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The Dirichlet Problem

2001
In Chapter X we used the Poisson kernel to solve the Dirichlet problem for the unit disk. In this chapter we study the Dirichlet problem for more general domains in the plane. The basic method, due to O. Perron, is to look for the solution of the Dirichlet problem as the upper envelope of a family of subsolutions.
D. H. Armitage, Stephen J. Gardiner
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A multidirectional Dirichlet problem

Journal of Geometric Analysis, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gregory C. Verchota, Andrew Vogel
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