Results 31 to 40 of about 14,589,045 (236)
Generic well-posedness in minimization problems
Abstract and Applied Analysis, 2005 The goal of this paper is to provide an overview of results concerning, roughly speaking, the following issue: given a (topologized) class of minimum problems, “how many” of them are well-posed? We will consider several ways to define the concept of “how
A. Ioffe, R. E. Lucchetti
doaj +1 more source
Well-posedness of nonlinear Schrödinger equations from deterministic and probabilistic viewpoints [PDF]
In this thesis, we study the Cauchy problem for nonlinear Schrödinger equations (NLS) in various settings. Firstly, we consider NLS with a quadratic nonlinearity |u|² on the two-dimensional torus.
Liu, Ruoyuan
core +1 more source
Heat Transfer, EarlyView.ABSTRACT This work presents and compares two explicit approaches for estimating space‐ and time‐dependent source terms in parabolic diffusion equations, derived from analytical solutions obtained through the Classical Integral Transform Technique (CITT).
André J. P. de Oliveira +5 more
wiley +1 more source
A Kantorovich Version of Bernstein‐Type Logarithmic Operators
Mathematische Nachrichten, EarlyView.ABSTRACT In this paper, we introduce a Kantorovich version of the Bernstein‐type logarithmic operators. The idea comes from the wide literature concerning exponential polynomials that preserve exponential functions: here, the exponential weights are replaced by logarithmic ones and the corresponding operators preserve the logarithmic functions.
Laura Angeloni +2 more
wiley +1 more source
Well-posedness of a model for water waves with viscosity [PDF]
, 2012 The water wave equations of ideal free–surface fluid mechanics are a fundamental model of open ocean movements with a surprisingly subtle well–posedness theory.
David Ambrose (7936688) +2 more
core +3 more sources
Well-Posedness of the Boundary Layer Equations [PDF]
SIAM Journal on Mathematical Analysis, 2003 We consider the mild solutions of the Prandtl equations on the half space. Requiring analyticity only with respect to the tangential variable, we prove the short time existence and the uniqueness of the solution in the proper function space. Theproof is achieved applying the abstract Cauchy--Kowalewski theorem to the boundary layer equations once the ...
LOMBARDO, Maria Carmela +2 more
openaire +3 more sources
Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion
Mathematische Nachrichten, EarlyView.ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng +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
Low regularity well-posedness of the modified and the generalized Korteweg-de Vries equations [PDF]
, 2021 In this thesis, we study the well-posedness of the modified and generalized Korteweg-de Vries equations on the one-dimensional torus. We first consider the complex-valued modified Korteweg-de Vries equation (mKdV).
Chapouto, Andreia
core +1 more source
Managerial and Decision Economics, EarlyView.ABSTRACT Trade‐policy shocks raise visible operating pressure on firms through sourcing costs, supplier exposure, and market‐serving choices. A direct operating‐margin interpretation points to production reconfiguration, pricing changes, or supply‐chain adjustment.
Garros Gong, Stanko Dimitrov
wiley +1 more source