Results 21 to 30 of about 103,531 (324)
Maximal Regularity Estimates and the Solvability of Nonlinear Differential Equations
Mathematics, 2022 We study a type of third-order linear differential equations with variable and unbounded coefficients, which are defined in an infinite interval. We also consider a non-linear generalization with coefficients that depends on an unknown function.
Myrzagali Ospanov, Kordan Ospanov
doaj +1 more source
Adaptive Regularized Submodular Maximization
, 2021 In this paper, we study the problem of maximizing the difference between an adaptive submodular (revenue) function and an non-negative modular (cost) function under the adaptive setting. The input of our problem is a set of $n$ items, where each item has a particular state drawn from some known prior distribution $p$.
Tang, Shaojie, Yuan, Jing
openaire +4 more sources
Regularity of one-sided multilinear fractional maximal functions
Open Mathematics, 2018 In this paper we introduce and investigate the regularity properties of one-sided multilinear fractional maximal operators, both in continuous case and in discrete case.
Liu Feng, Xu Lei
doaj +1 more source
Maximal Product of Graphs under Vague Environment
Mathematical and Computational Applications, 2020 Graph models are found everywhere in natural and human made structures, including process dynamics in physical, biological and social systems. The product of graphs are appropriately used in several combinatorial applications and in the formation of ...
Behnaz Sheikh Hoseini +4 more
doaj +1 more source
Numerical analysis of nonlinear subdiffusion equations [PDF]
, 2017 We present a general framework for the rigorous numerical analysis of time-fractional nonlinear parabolic partial differential equations, with a fractional derivative of order $\alpha\in(0,1)$ in time.
Jin, Bangti, Li, Buyang, Zhou, Zhi
core +2 more sources
Non-autonomous Maximal Regularity Under Besov Regularity in Time
Mediterranean Journal of Mathematics, 2022 Abstract We consider the maximal regularity problem for non-autonomous Cauchy problems u′(t) + A(t)u(t) = f (t) t-a.e., u(0) = u0. Each operator A(t) arises from a time depending sesquilinear form a(t) on a Hilbert space H with constant domain V. We prove maximal Lp-regularity result for p ≤ 2 under min-imal regularity assumptions on the forms.
openaire +1 more source
Endpoint regularity of discrete multilinear fractional nontangential maximal functions
Advances in Difference Equations, 2019 Given m≥1 $m\geq 1$, 0≤λ≤1 $0\leq \lambda \leq 1$, and a discrete vector-valued function f→=(f1,…,fm) $\vec{f}=(f_{1},\ldots,f_{m})$ with each fj:Zd→R $f_{j}:\mathbb{Z} ^{d}\rightarrow \mathbb{R}$, we consider the discrete multilinear fractional ...
Daiqing Zhang
doaj +1 more source
Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs
Mathematics, 2021 Let G be an infinite connected graph. We introduce two kinds of multilinear fractional maximal operators on G. By assuming that the graph G satisfies certain geometric conditions, we establish the bounds for the above operators on the endpoint Sobolev ...
Suying Liu, Feng Liu
doaj +1 more source
Maximal regular boundary value problems in Banach-valued function spaces and applications
International Journal of Mathematics and Mathematical Sciences, 2006 The nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. The principal parts of the differential operators generated by these problems are non-selfadjoint.
Veli B. Shakhmurov
doaj +1 more source
Parabolic Problems with Dynamic Boundary Conditions in Lp Spaces
Bruno Pini Mathematical Analysis Seminar, 2014 We illustrate a maximal regularity result for parabolic problems with dynamic boundary conditions in Lp spaces.
Davide Guidetti
doaj +1 more source