Results 51 to 60 of about 3,398 (121)
On the Convergence of Solutions for SPDEs under Perturbation of the Domain
Discrete Dynamics in Nature and Society, Volume 2016, Issue 1, 2016., 2016 We investigate the effect of domain perturbation on the behavior of mild solutions for a class of semilinear stochastic partial differential equations subject to the Dirichlet boundary condition. Under some assumptions, we obtain an estimate for the mild solutions under changes of the domain.
Zhongkai Guo +3 more
wiley +1 more source
The digitalization of family life: A multilevel conceptual framework
Journal of Marriage and Family, Volume 86, Issue 5, Page 1160-1183, October 2024.Abstract The internet and digital technologies have penetrated all domains of people's lives, and family life is no exception. Despite being a characterizing feature of contemporary family change, the digitalization of family life has yet to be systematically theorized.
Yue Qian, Yang Hu
wiley +1 more source
Semilinear Evolution Problems with Ventcel‐Type Conditions on Fractal Boundaries
International Journal of Partial Differential Equations, Volume 2014, Issue 1, 2014., 2014 A semilinear parabolic transmission problem with Ventcel′s boundary conditions on a fractal interface S or the corresponding prefractal interface Sh is studied. Regularity results for the solution in both cases are proved. The asymptotic behaviour of the solutions of the approximating problems to the solution of limit fractal problem is analyzed.
Maria Rosaria Lancia +2 more
wiley +1 more source
Quasi‐conical domains with embedded eigenvalues
Bulletin of the London Mathematical Society, Volume 56, Issue 9, Page 2969-2981, September 2024.Abstract The spectrum of the Dirichlet Laplacian on any quasi‐conical open set coincides with the non‐negative semi‐axis. We show that there is a connected quasi‐conical open set such that the respective Dirichlet Laplacian has a positive (embedded) eigenvalue.
David Krejčiřík, Vladimir Lotoreichik
wiley +1 more source
Mosco and Slice Convergence of Level Sets and Graphs of Linear Functionals
Journal of Mathematical Analysis and Applications, 1993 Various notions of convergence for sequences of continuous linear functionals on a normed vector space \(X\) are considered and compared. The main result states that convergence in norm is equivalent to convergence of corresponding level sets in a suitable topology for the space of closed convex subsets of \(X\).
Beer, Gerald, Borwein, Jonathan M.
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Mathematical Methods in the Applied Sciences, Volume 47, Issue 6, Page 4319-4344, April 2024.We define the concept of energy‐variational solutions for the Navier–Stokes and Euler equations and prove their existence in any space dimension. It is shown that the concept of energy‐variational solutions enjoys several desirable properties. Energy‐variational solutions are not only known to exist and coincide with local strong solutions, but the ...
Robert Lasarzik
wiley +1 more source
Stable domains for higher order elliptic operators
Comptes Rendus. MathématiqueThis paper is devoted to prove that any domain satisfying a $(\delta _0,r_0)$-capacitary condition of first order is automatically $(m,p)$-stable for all $m\geqslant 1$ and $p> 1$, and for any dimension $N\geqslant 1$.
Grosjean, Jean-François +2 more
doaj +1 more source
Convergences and projection Markov property of Markov processes on ultrametric spaces
, 2014 Let $(S,\rho)$ be an ultrametric space with certain conditions and $S^k$ be the quotient space of $S$ with respect to the partition by balls with a fixed radius $\phi(k)$.
Suzuki, Kohei
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Mosco convergence of sequences of homogeneous polynomials
Revista Matemática Complutense, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Convergence of nonlinear semigroups under nonpositive curvature [PDF]
, 2013 The present paper is devoted to semigroups of nonexpansive mappings on metric spaces of nonpositive curvature. We show that the Mosco convergence of a sequence of convex lsc functions implies convergence of the corresponding resolvents and convergence of
Bacak, Miroslav
core