Results 41 to 50 of about 673 (226)
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Optimal control of PDEs with regularized pointwise state constraints [PDF]
, 2021 This paper addresses the regularization of pointwise state constraints in optimal control problems. By analyzing the associated dual problem, it is shown that the regularized problems admit Lagrange multipliers in L^2-spaces.
Meyer, Christian +2 more
core +1 more source
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
Pointwise multipliers of weighted BMO spaces [PDF]
Proceedings of the American Mathematical Society, 1989 Let \(w:{\mathbb{R}}\to {\mathbb{R}}^+\) be a weight function satisfying the doubling condition: \(\int_{J}w(x)dx\leq C\int_{I}w(x)dx\), whenever I and J are intervals such that \(I\subset J\) and \(| J| \leq 2| I|\). The paper under review describes the weighted atomic \(H^ 1\)- space \(H_ w^ 1({\mathbb{R}})\) and weighted BMO-space \(BMO_ w({\mathbb ...
openaire +2 more sources
Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices
, 2022 We prove that the class of Banach function lattices in which all relatively weakly compact sets are equi-integrable sets (i.e. spaces satisfying the Dunford–Pettis criterion) coincides with the class of 1-disjointly homogeneous Banach lattices.
Lech Maligranda +8 more
core +1 more source
Deep Underground Science and Engineering, EarlyView.This paper presents temporal and adaptive‐frequency network with MixStyle (TAMNet), a deep time‐series modeling framework for accurate and robust multi‐well oil productivity forecasting. TAMNet integrates transformer and long short‐term memory architectures to capture both short‐ and long‐term temporal dependencies, enhanced by a temporal gate unit ...
Chunxi Yang +6 more
wiley +1 more source
Intraday Functional PCA Forecasting of Cryptocurrency Returns
Journal of Forecasting, EarlyView.ABSTRACT We study the functional PCA (FPCA) forecasting method in application to functions of intraday returns on Bitcoin. We show that improved interval forecasts of future return functions are obtained when the conditional heteroscedasticity of return functions is taken into account.
Joann Jasiak, Cheng Zhong
wiley +1 more source
On a problem of Jaak Peetre concerning pointwise multipliers of Besov spaces [PDF]
Studia Mathematica, 2018 23 ...
Nguyen, Van Kien, Sickel, Winfried
openaire +3 more sources
, 2023 We define two notions of Logarithmic Bloch space in the polydisc for which we provide equivalent definitions in terms of symbols of bounded Hankel operators. We also provide a full characterization of the pointwise multipliers between two different Bloch
Sehba, Benoit Florent
core