Results 11 to 20 of about 11,399,904 (367)
The problem of Dirichlet for an ellipsoid [PDF]
Terrestrial Magnetism and Atmospheric Electricity, 1935 (1) Introduction—In a group of important problems in potential theory it is required to determine a harmonic function which takes on preassigned continuous values on the boundaries of some region R. Under the proper limitations on the geometrical characteristics of the region R, it is known that the solution of the problem of Dirichlet exists and is ...
I. S. Sokolnikoff, E. S. Sokolnikoff
openaire +7 more sources
Časopis pro pěstování matematiky, 1958 Let S + be a connected region, bounded by simple smooth non- intersecting contours Lo, L1 …, LP the first of which contains all the others. By L will be understood the union of these contours; as usual, the positive direction on L will be taken such that S + remains on the left. The contour Lo may be absent in which case S+ is infinite.
Rudolf Výborný
+5 more sources
The Multiplication Problem for Dirichlet Series [PDF]
Proceedings of the American Mathematical Society, 1958 1. P. Erdos and S. J. Taylor, On the set of points of convergence of a lacunary trigonometric series and the equidistribution properties of related sequences, Proc. London Math. Soc. (2) vol. 7 (1957) pp. 598-615. 2. C. S. Herz, The Bohr spectrum of bounded functions, Bull. Amer. Math. Soc. vol. 62 (1955) p. 76. 3. H.
Jack P. Tull
openaire +4 more sources
Mathematics, 2022 In this research, we investigate an optimal control problem governed by elliptic PDEs with Dirichlet boundary conditions on complex connected domains, which can be utilized to model the cooling process of concrete dam pouring.
Mengya Su, Liuqing Xie, Zhiyue Zhang
doaj +1 more source
Dirichlet Problem with L1(S) Boundary Values
Axioms, 2022 Let D be a connected bounded domain in R2, S be its boundary, which is closed and C2-smooth. Consider the Dirichlet problem Δu=0inD,u|S=h, where h∈L1(S).
Alexander G. Ramm
doaj +1 more source
The Dirichlet problem for the k-Hessian equation on a complex manifold [PDF]
American Journal of Mathematics, 2019 :We solve the Dirichlet problem for $k$-Hessian equations on compact complex manifolds with boundary, given the existence of a subsolution. Our method is based on a second order a priori estimate of the solution on the boundary with a particular gradient
Tristan C. Collins, Sebastien Picard
semanticscholar +1 more source
The Dirichlet Casimir problem [PDF]
Nuclear Physics B, 2004 Casimir forces are conventionally computed by analyzing the effects of boundary conditions on a fluctuating quantum field. Although this analysis provides a clean and calculationally tractable idealization, it does not always accurately capture the characteristics of real materials, which cannot constrain the modes of the fluctuating field at all ...
Robert L. Jaffe +6 more
openaire +3 more sources
The Regularity of Minima for the Dirichlet Problem on BD
Archive for Rational Mechanics and Analysis, 2020 We establish that the Dirichlet problem for linear growth functionals on $${\text {BD}}$$ BD , the functions of bounded deformation, gives rise to the same unconditional Sobolev and partial $${\text {C}}^{1,\alpha }$$ C 1 , α -regularity theory as ...
F. Gmeineder
semanticscholar +1 more source
The Dirichlet problem for the logarithmic Laplacian [PDF]
Communications in Partial Differential Equations, 2017 In this article, we study the logarithmic Laplacian operator which is a singular integral operator with symbol We show that this operator has the integral representation with and where Γ is the Gamma function, is the Digamma function and is the Euler ...
Huyuan Chen, T. Weth
semanticscholar +1 more source