Results 51 to 60 of about 223,909 (283)

POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES

Forum of Mathematics, Sigma, 2018
We obtain partial improvement toward the pointwise convergence problem of Schrödinger solutions, in the general setting of fractal measure. In particular, we show that, for $n\geqslant 3$, $\lim _{t\rightarrow 0}e^{it\unicode[STIX]{x1D6E5}}f(x)$$=f(x ...
XIUMIN DU, LARRY GUTH, XIAOCHUN LI, RUIXIANG ZHANG   +3 more
doaj   +1 more source

Almost Everywhere Convergence of Riesz-Raikov Series [PDF]

Colloquium Mathematicum, 1995
Summary: Let \(T\) be a \(d\times d\) matrix with integer entries and with eigenvalues \(>1\) in modulus. Let \(f\) be a Lipschitzian function of positive order. We prove that the series \(\sum^\infty_{n=1} c_nf(T^nx)\) converges almost everywhere with respect to Lebesgue measure provided that \(\sum^\infty_{n=1}|c_n|^2\log ...
openaire   +2 more sources

Expansions of Functions Based on Rational Orthogonal Basis with Nonnegative Instantaneous Frequencies

Journal of Applied Mathematics, 2014
We consider in this paper expansions of functions based on the rational orthogonal basis for the space of square integrable functions. The basis functions have nonnegative instantaneous frequencies so that the expansions make physical sense.
Xiaona Cui, Suxia Yao
doaj   +1 more source

Quasi-Newton methods for atmospheric chemistry simulations: implementation in UKCA UM vn10.8 [PDF]

Geoscientific Model Development, 2018
A key and expensive part of coupled atmospheric chemistry–climate model simulations is the integration of gas-phase chemistry, which involves dozens of species and hundreds of reactions.
E. Esentürk, E. Esentürk, N. L. Abraham, N. L. Abraham, S. Archer-Nicholls, C. Mitsakou, C. Mitsakou, P. Griffiths, P. Griffiths, A. Archibald, A. Archibald, J. Pyle, J. Pyle   +12 more
doaj   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Weighted decoupling estimates and the Bochner-Riesz means

Forum of Mathematics, Sigma
We prove new weighted decoupling estimates. As an application, we give an improved sufficient condition for almost everywhere convergence of the Bochner-Riesz means of arbitrary $L^p$ functions for ...
Jongchon Kim
doaj   +1 more source

CONVERGENCE OF SOLUTIONS OF BILATERAL PROBLEMS IN VARIABLE DOMAINS AND RELATED QUESTIONS

Ural Mathematical Journal, 2017
We discuss some results on the convergence of minimizers and minimum values of integral and more general functionals on sets of functions defined by bilateral constraints in variable domains. We consider the case of regular constraints, i.e., constraints
Alexander A. Kovalevsky
doaj   +1 more source

Tiling by translates of a function: results and open problems

Discrete Analysis, 2021
Tiling by translates of a function: results and open problems, Discrete Analysis 2021:12, 24 pp. Let $f$ be a function from $\mathbb R$ to $\mathbb R$, and for each $\lambda\in\mathbb R$, let $T_\lambda$ be the translate of $f$ by $\lambda$, that is ...
Mihail N. Kolountzakis, Nir Lev
doaj   +1 more source

Almost Everywhere Convergence of Orthogonal Series Revisited

Journal of Mathematical Analysis and Applications, 1994
We deal with single and double orthogonal series and give sufficient conditions which ensure their convergence almost everywhere. Among others, we prove that if \[ \sum^ \infty_{j= 3} \sum^ \infty_{k= 3} a_{jk}^ 2\log j\log k\log^ 2_ +(1/a^ 2_{jk})
Moricz, F., Tandori, K.
openaire   +1 more source

Understanding Engagement Experiences in an Adapted Digital Cognitive Behavioral Intervention for Lower‐Income Adults With Eating Disorders With Binge Eating and/or Purging: A Qualitative Analysis of Barriers and Facilitators

International Journal of Eating Disorders, EarlyView.
ABSTRACT Objective This study explored the experiences of lower‐income adults in accessing and engaging with an adapted digital guided self‐help cognitive behavioral intervention for binge and/or purge‐type eating disorders. This study sought to inform future adaptation of evidence‐based eating disorder interventions to improve accessibility ...
Kimberly Yu, Siena Vendlinski, Hannah Beck, Nancy Jacquelyn Pérez‐Flores, Catherine R. Drury, Ellen E. Fitzsimmons‐Craft, Erin C. Accurso   +6 more
wiley   +1 more source