Results 211 to 220 of about 12,650 (261)

Quantum algorithms for equational reasoning. [PDF]

Sci Adv
Rattacaso D, Jaschke D, Ballarin M, Siloi I, Montangero S.   +4 more
europepmc   +1 more source

On Green’s Function of the Dirichlet Problem for the Polyharmonic Equation in the Ball

Axioms, 2023
The paper gives an explicit representation of the Green’s function of the Dirichlet boundary value problem for the polyharmonic equation in the unit ball. The solution of the homogeneous Dirichlet problem is found.
Valery Karachik
exaly   +3 more sources

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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   +2 more sources

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

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   +3 more sources

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