Results 91 to 100 of about 7,255,580 (206)

Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson, Janne Nurminen, Mikko Salo   +2 more
wiley   +1 more source

A Hilbert-type integral inequality(一个Hilbert型积分不等式)

Zhejiang Daxue xuebao. Lixue ban, 2007
通过估算权函数，建立一个含参数的具有最佳常数因子的Hilbert型积分不等式.同时建立它的两种最佳推广式及相应的等价形式.
YANGBi-cheng(杨必成)
doaj   +1 more source

On Hilbert type inequalities with non-conjugate parameters

Applied Mathematics Letters, 2009
Different versions of the Hilbert inequality has been investigated by many mathematicians, see [\textit{A. Kufner}, \textit{L. Maligranda} and \textit{L.-E. Persson}, The Hardy inequality. About its history and some related results, Pilsen: Vydavatelský Servis (2007; Zbl 1213.42001)]. Utilizing the properties of rearrangement of a function, the authors
Kuang Jichang, Lokenath Debnath
openaire   +3 more sources

On a Reverse Half-Discrete Hilbert-Type Inequality with the General Homogeneous Kernel as Well as Multiple Lower Limit Function and Remainder Sum

Mathematics
By means of the weight functions, the idea of introduced parameters, and the reverse Hardy’s integral inequality, an extended reverse Hardy-type inequality is obtained, and then a new reverse half-discrete Hilbert-type inequality with the general ...
Bicheng Yang, Jianquan Liao
doaj   +1 more source

Direct Construction of Quantized Tensor Trains With Small Rank for Laplace‐ or Gaussian‐Transformed Analytic Functions

International Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.
ABSTRACT Preparing quantum states with desired amplitude distributions is a key bottleneck in the implementation of quantum linear and nonlinear dynamics solvers, including Linear Combination of Hamiltonian Simulation (LCHS) and Schrödingerization. We present a direct, closed‐form construction of Quantized Tensor Train (QTT) representations for two ...
Katsuhiro Endo, Kazuaki Z. Takahashi
wiley   +1 more source

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

International Journal of Adaptive Control and Signal Processing, Volume 40, Issue 9, Page 1932-1944, September 2026.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir, Sarah Mechhoud, Taous‐Meriem Laleg‐Kirati   +2 more
wiley   +1 more source

A general multidimensional half-discrete Hilbert-type inequality involving one derivative function of m-order

Journal of Inequalities and Applications
By means of the weight functions, the idea of introduced parameters and Hardy’s integral inequality, a multidimensional half-discrete Hilbert-type inequality with a general homogeneous kernel involving one derivative function of m-order is obtained.
Jianquan Liao, Bicheng Yang
doaj   +1 more source

Note on Hilbert-type inequalities

Turkish Journal of Mathematics, 2012
The main objective of this paper is to prove Hlbert-type and Hardy-Hilbert-type inequalities with a general homogeneous kernel, thus generalizing a result obtained in [Namita Das and Srinibas Sahoo, A generalization of multiple Hardy-Hilbert's integral inequality, Journal of Mathematical Inequalities, 3(1), (2009), 139-154.]
openaire   +2 more sources

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.
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, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

On an Extended Reverse Multidimensional Half-Discrete Hilbert-Type Inequality

Axioms
By means of the weight functions, the idea of introduced parameters and the techniques of real analysis, we give a new reverse Hardy-type inequality and then obtain an extended reverse multidimensional half-discrete Hilbert-type inequality with the ...
Jianquan Liao, Bicheng Yang
doaj   +1 more source