Results 241 to 250 of about 138,114 (286)

On a fractional Dirichlet problem

2012 17th International Conference on Methods & Models in Automation & Robotics (MMAR), 2012
In the paper a fractional analogon of the classical Dirichlet problem is considered. Using some variational method a theorem on the existence and uniqueness of solution is proved. In the proof of the main result we use a characterization of the weak convergence in the space of solutions and a fractional counterpart of du Bois-Reymond lemma.
Rafal Kamocki, Marek Majewski
openaire   +1 more source

Polyharmonic dirichlet problems

Proceedings of the Steklov Institute of Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Begehr, H., Vu, T. N. H., Zhang, Z.-X.
openaire   +1 more source

Relaxation for Dirichlet Problems Involving a Dirichlet Form

Zeitschrift für Analysis und ihre Anwendungen, 2000
For a fixed Dirichlet form, we study the space of positive Borel measures (possibly infinite) which do not charge polar sets. We prove the density in this space of the set of the measures which represent varying, domains. Our method is constructive. For the Laplace operator, the proof was based on a pavage of the space.
BIROLI, MARCO, TCHOU N.
openaire   +4 more sources

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 ...
openaire   +2 more sources

A recurrence for Dirichlet problems

Computing, 1982
The formal integration of the differential eq. to an integral equation allows the iterative construction of a class of “basic” functions which, characterized by the kernel, are suitable for developing the solution to the boundary value problem.
openaire   +1 more source

Superlinear Dirichlet problems

Nonlinear Analysis: Theory, Methods & Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The Dirichlet Problem

2001
In its simplest form the Dirichlet problem may be stated as follows: for a given function \( f \in C\left( {{\partial ^\infty }\Omega } \right)\), determine, if possible, a function h ∈ H(Ω) such that h(x) → f(y) as x → y for each \( y \in {\partial ^\infty }\Omega \).
David H. Armitage, Stephen J. Gardiner
openaire   +2 more sources

The Dirichlet Problem

2014
The natural Dirichlet problem in C n is not the classical one for solutions of the Laplace equation but rather for solutions of the Monge–Ampere equation. We present the solution of this Dirichlet problem in a ball.
openaire   +1 more source

On Dirichlet problem

Theoretical and Mathematical Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

The Dirichlet Problem

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 ...
openaire   +1 more source