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Displaying 61 – 80 of 96

Construction of planar harmonic functions.

Jahangiri, Jay M., Silverman, Herb, Silvia, Evelyn M. (2007)

International Journal of Mathematics and Mathematical Sciences

Construction of the solutions of boundary value problems for the biharmonic operator in a rectangle

Nachman Aronszajn, R. D. Brown, R. S. Butcher (1973)

Annales de l'institut Fourier

A technique is developed for constructing the solution of $Δ^{2} u = F$ in $R = {(x, y) : | x | < a, | y | < b}$ , subject to boundary conditions $u = φ$ , $\frac{\partial u}{\partial n} = ψ$ on $\partial R$ . The problem is reduced to that of finding the orthogonal projection $P w$ of $w$ in $L^{2} (R)$ onto the subspace $H$ of square integrable functions harmonic in $R$ . This problem is solved by decomposition $H$ into the closed direct (not orthogonal) sum of two subspaces $H^{(1)}, H^{(2)}$ for which complete orthogonal bases are known. $P$ is expressed in terms of the projections $P^{(1)}$ , $P^{(2)}$ of $L^{2} (R)$ onto $H^{(1)}$ , $H^{(2)}$ respectively. The resulting construction...

Constructions de fonctions holomorphes bornées

N. Sibony (1982/1983)

Séminaire Équations aux dérivées partielles (Polytechnique)

Continuation of positive, closed currents and analytic sets.

Manfred Rapp (1993)

Mathematische Zeitschrift

Continuité et uniforme continuité du spectre dans les algèbras de Banach

Bernard Aupetit (1977)

Studia Mathematica

Continuity and maximum principle for potentials of signed measures

Ivan Netuka (1975)

Czechoslovak Mathematical Journal

Continuity properties of Riesz potentials and boundary limits of Beppo Levi functions.

Yoshihiro Mizuta (1988)

Mathematica Scandinavica

Continuous extendibility of solutions of the Neumann problem for the Laplace equation

Dagmar Medková (2003)

Czechoslovak Mathematical Journal

A necessary and sufficient condition for the continuous extendibility of a solution of the Neumann problem for the Laplace equation is given.

Continuous extendibility of solutions of the third problem for the Laplace equation

Dagmar Medková (2003)

Czechoslovak Mathematical Journal

A necessary and sufficient condition for the continuous extendibility of a solution of the third problem for the Laplace equation is given.

Continuous pluriharmonic boundary values

Per Åhag, Rafał Czyż (2007)

Annales Polonici Mathematici

Let $D_{j}$ be a bounded hyperconvex domain in $ℂ^{n_{j}}$ and set $D = D ₁ \times \dots \times D_{s}$ , j=1,...,s, s≥ 3. Also let ₙ be the symmetrized polydisc in ℂⁿ, n ≥ 3. We characterize those real-valued continuous functions defined on the boundary of D or ₙ which can be extended to the inside to a pluriharmonic function. As an application a complete characterization of the compliant functions is obtained.

Contribution à la théorie de la fonction de Green

Zaremba (1896)

Bulletin de la Société Mathématique de France

Convergence and uniqueness problems for Dirichlet forms on fractals

Roberto Peirone (2000)

Bollettino dell'Unione Matematica Italiana

$M_{1}$ è un particolare operatore di minimizzazione per forme di Dirichlet definite su un sottoinsieme finito di un frattale $K$ che è, in un certo senso, una sorta di frontiera di $K$ . Viene talvolta chiamato mappa di rinormalizzazione ed è stato usato per definire su $K$ un analogo del funzionale $u \mapsto \int {|grad u|}^{2}$ e un moto Browniano. In questo lavoro si provano alcuni risultati sull'unicità dell'autoforma (rispetto a $M_{1}$ ), e sulla convergenza dell'iterata di $M_{1}$ rinormalizzata. Questi risultati sono collegati con l'unicità...

Convergence in Dirichlet law of certain stochastic integrals.

Chorro, Christophe (2005)

Electronic Journal of Probability [electronic only]

Convergence in nonisotropic regions of harmonic functions in $^{n}$

Carme Cascante, Joaquin Ortega (1999)

Studia Mathematica

We study the boundedness in $L^{p} (^{n})$ of the projections onto spaces of functions with spectrum contained in horizontal strips. We obtain some results concerning convergence along nonisotropic regions of harmonic extensions of functions in $L^{p} (^{n})$ with spectrum included in these horizontal strips.

Currently displaying 61 – 80 of 96

Previous Page 4 Next

Displaying 61 – 80 of 96

Construction of planar harmonic functions.

Construction of the solutions of boundary value problems for the biharmonic operator in a rectangle

Constructions de fonctions holomorphes bornées

Continuation of positive, closed currents and analytic sets.

Continuité et uniforme continuité du spectre dans les algèbras de Banach

Continuity and maximum principle for potentials of signed measures

Continuity properties of Riesz potentials and boundary limits of Beppo Levi functions.

Continuous extendibility of solutions of the Neumann problem for the Laplace equation

Continuous extendibility of solutions of the third problem for the Laplace equation

Continuous pluriharmonic boundary values

Contribution à la théorie de la fonction de Green

Convergence and uniqueness problems for Dirichlet forms on fractals

Convergence in Dirichlet law of certain stochastic integrals.

Convergence in nonisotropic regions of harmonic functions in $^{n}$

Convergence of Balayage Measures.

Convergence of martingales on manifolds of negative curvature

Convergence of Monotone Operators.

Convergence of $V$ -cycle and $F$ -cycle multigrid methods for the biharmonic problem using the Morley element.

Convergenza e dualità per forme di Dirichlet non-simmetriche

Converse mean value theorems on trees and symmetric spaces.

Currently displaying 61 – 80 of 96