Results 41 to 50 of about 9,689,744 (234)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Well-posedness of the one-dimensional derivative nonlinear Schrödinger equation [PDF]
, 2018 This thesis is concerned with the well-posedness of the one-dimensional derivative non-linear Schrodinger equation (DNLS). In particular, we study the initial-value problem associated to DNLS with low-regularity initial data in two settings: (i) on the
Moşincat, Răzvan Octavian
core
Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems
Fixed Point Theory and Applications, 2009 We study generalized Levitin-Polyak well-posedness of vector equilibrium problems with functional constraints as well as an abstract set constraint.
Lai-Jun Zhao, Yan Wang, Jian-Wen Peng
doaj +2 more sources
Well posedness and physical possibility [PDF]
, 2013 There is a sentiment shared among physicists that well posedness is a necessary condition for physical possibility. The arguments usually offered for well posedness have an epistemic flavor and thus they fall short of establishing the metaphysical claim ...
Gyenis, Balazs
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Almost optimal local well-posedness for modified Boussinesq equations
Electronic Journal of Differential Equations, 2020 In this article, we investigate a class of modified Boussinesq equations, for which we provide first an alternate proof of local well-posedness in the space $(H^s\cap L^\infty)\times (H^s\cap L^\infty)(\mathbb{R})$ ($s\geq 0$) to the one obtained by
Dan-Andrei Geba, Bai Lin
doaj
On the Well-posedness of Bayesian Inverse Problems [PDF]
SIAM/ASA Journal on Uncertainty Quantification, 2020 30 pages, 7 ...
openaire +3 more sources
Global Well-Posedness of the Incompressible Magnetohydrodynamics [PDF]
Archive for Rational Mechanics and Analysis, 2018 This paper studies the Cauchy problem of the incompressible magnetohydrodynamic systems with or without viscosity $ν$. Under the assumption that the initial velocity field and the displacement of the initial magnetic field from a non-zero constant are sufficiently small in certain weighted Sobolev spaces, the Cauchy problem is shown to be globally well-
Yuan Cai, Zhen Lei
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Remarks on the Maximal Regularity for Parabolic Boundary Value Problems With Inhomogeneous Data
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Inspired by Ogawa‐Shimizu and Chen‐Liang‐Tsai on the second and first order derivative estimates of solutions of the heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives.
Hui Chen, Su Liang, Tai‐Peng Tsai
wiley +1 more source
Solvability and Boundedness in Chemotaxis‐Consumption Models With Oppositely Acting Nonlocal Sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we investigate a chemotaxis system featuring a class of external source terms that incorporate both local and nonlocal growth as well as dampening effects. The model describes the evolution of a cell density u$$ u $$, which migrates in response to a chemical signal v$$ v $$, within an impermeable habitat.
Rafael Díaz Fuentes +3 more
wiley +1 more source
Levitin–Polyak Well Posedness for Fuzzy Optimization Problems Through a Linear Ordering
MathematicsWe propose a reformulated notion of Levitin–Polyak (abbreviated as LP) well posedness for fuzzy optimization problems formulated in the fuzzy order-preserving (FOP) setting, where minimizing sequences are governed by a total ordering defined on fuzzy ...
Rattanaporn Wangkeeree +2 more
doaj +1 more source