Results 41 to 50 of about 590,591 (97)
The Free Energy of a Quantum Sherrington–Kirkpatrick Spin-Glass Model for Weak Disorder [PDF]
, 2023 We extend two rigorous results of Aizenman, Lebowitz, and Ruelle in their pioneering paper of 1987 on the Sherrington–Kirkpatrick spin-glass model without external magnetic field to the quantum case with a “transverse field” of strength b. More precisely,
Leschke, Hajo +3 more
core +2 more sources
The Dirichlet energies of functions between spheres [PDF]
, 2023 included in ...
González-Castillo, Samuel
core
Global existence of dissipative solutions to the Camassa--Holm equation with transport noise [PDF]
, 2023 We consider a nonlinear stochastic partial differential equation (SPDE) that takes the form of the Camassa–Holm equation perturbed by a convective, position-dependent, noise term.
Galimberti, Luca +3 more
core +1 more source
Mackey compactness in Banach spaces
, 1973 If A', a subset of a conjugate Banach space X', is sequentially compact in the Mackey topology (r(X', X)), then A' is conditionally compact in the Mackey topology. The converse is not true. A subset A is conditionally compact if its closure is compact; A
J. Howard
semanticscholar +1 more source
A FUNCTIONAL DIFFERENTIAL EQUATION IN BANACH SPACES
, 1982 The study of the Cauchy problem for differential and functional differential equations in a Banach space relat ive to the strong topology has attracted much attention in recent years [10] , [11] . However a similar study of the Cauohy problem in a Banaoh
I. Kubiaczyk
semanticscholar +1 more source
Piecewise Euclidean Structures and Eberlein's Rigidity Theorem in the Singular Case [PDF]
, 1999 In this article, we generalize Eberlein’s Rigidity Theorem to the singular case, namely, one of the spaces is only assumed to be a CAT(0) topological manifold.
Michael W. Davis, B. Okun, F. Zheng
semanticscholar +1 more source
On the properties of the solution set map to Volterra integral inclusion
, 2017 For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is proved to be $R_\delta$, without auxiliary conditions imposed in Theorem 6 [J. Math. Anal. Appl. 403 (2013), 643-666]. It is shown that the solution set map,
Pietkun, Radosław
core +1 more source
Tangent cones, starshape and convexity
, 1978 International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 4, Page 459-477, 1978.
J. M. Borwein
wiley +1 more source
Some fixed point theorems of the Schauder and the Krasnosel'skii type and application to nonlinear transport equations [PDF]
, 2006 In [J. Math. Phys. 37 (1996) 1336–1348] the existence of solutions to the boundary value problem (1.1)–(1.2) was analyzed for isotropic scattering kernels on Lp spaces for p∈(1,∞). Due to the lack of compactness in L1 spaces, the problem remains open for
Aziz Taoudi, M. +2 more
core +1 more source
An extension of the Krein-Smulian theorem.
, 2006 Let X be a Banach space, u ∈ X ∗∗ and K,Z two subsets of X ∗∗ .Denote by d ( u,Z )and d ( K,Z ) the distances to Z from the point u and from the subset K respectively.
A. S. Granero
semanticscholar +1 more source