Results 11 to 20 of about 238 (174)

Aspects of Hadamard well-posedness for classes of non-Lipschitz semilinear parabolic partial differential equations [PDF]

, 2016
We study classical solutions of the Cauchy problem for a class of non-Lipschitz semilinear parabolic partial differential equations in one spatial dimension with sufficiently smooth initial data.
Needham, D. J., Meyer, J. C.
core   +1 more source

Lipschitz spaces adapted to Schrödinger operators and regularity properties [PDF]

, 2021
Consider the Schrödinger operator L= - Δ + V in Rn, n≥ 3 , where V is a nonnegative potential satisfying a reverse Hölder condition of the type (1|B|∫BV(y)qdy)1/q ≤C|B|∫BV(y)dy, for some q > n/2.
Torrea Hernández, José Luis, León-Contreras, Marta de   +1 more
core   +1 more source

Strong continuity for the 2D Euler equations [PDF]

, 2015
We prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential continuity and holds for a general bounded solution.
Spirito, Stefano, Crippa, Gianluca, Semenova, Elizaveta   +2 more
core   +1 more source

On the preserved extremal structure of Lipschitz-free spaces [PDF]

, 2019
[EN] We characterize preserved extreme points of the unit ball of Lipschitz-free spaces F(X) in terms of simple geometric conditions on the underlying metric space (X,d).
Guirao Sánchez, Antonio José, Aliaga Varea, Ramón José, Guirao, A.J., Aliaga, Ramón J.   +3 more
core   +1 more source

Cubature Formulas for Oscillatory Integrals with Given Function Traces on Lines

Кібернетика та комп'ютерні технології
Introduction. Numerical integration of rapidly oscillating multivariable functions plays an important role in applied mathematics, particularly in image processing, computed tomography, and mathematical modeling.
Yevheniia Khurdei, Vladyslav Ivanov
doaj   +1 more source

Normal Families and Quasiregular Mappings

, 2023
Beardon and Minda gave a characterization of normal families of holomorphic and meromorphic functions in terms of a locally uniform Lipschitz condition.
Alastair N. Fletcher, Fletcher, Alastair N., Nicks, Daniel A., Daniel A. Nicks   +3 more
core   +1 more source

Operator Hölder–Zygmund functions

, 2010
It is well known that a Lipschitz function on the real line does not have to be operator Lipschitz. We show that the situation changes dramatically if we pass to Hölder classes.
Aleksandrov, A.B., Peller, V.V.
core   +1 more source

A goodness‐of‐fit test for regression models with discrete outcomes

Canadian Journal of Statistics, EarlyView.
Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang, Christian Genest, Johanna G. Nešlehová   +2 more
wiley   +1 more source

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, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

Lost in Translation? Risk‐Adjusting RMSE for Economic Forecast Performance

Journal of Forecasting, EarlyView.
ABSTRACT When used for parameter optimization and/or model selection, traditional mean squared error (MSE)–based measures of forecast accuracy often exhibit a weak or even negative correlation with the economic value of return forecasts measured by, for example, the Sharpe ratios of the resulting portfolios.
Lukas Salcher, Sebastian Stöckl, Michael Hanke   +2 more
wiley   +1 more source