Results 51 to 60 of about 259 (139)
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
wiley +1 more source
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
wiley +1 more source
General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
Anais da Academia Brasileira de Ciências, 2005 We prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using mass transportation and convex analysis results. Explicit extremals and the computation of some optimal constants are also provided.
Jurandir Ceccon, Marcos Montenegro
doaj +1 more source
An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces
Advances in Nonlinear Analysis, 2020 It is known that functions in a Sobolev space with critical exponent embed into the space of functions of bounded mean oscillation, and therefore satisfy the John-Nirenberg inequality and a corresponding exponential integrability estimate.
Martínez Ángel D., Spector Daniel
doaj +1 more source
Gagliardo-Nirenberg-type inequalities using fractional Sobolev spaces and Besov spaces
Advanced Nonlinear Studies, 2023 Our main purpose is to establish Gagliardo-Nirenberg-type inequalities using fractional homogeneous Sobolev spaces and homogeneous Besov spaces. In particular, we extend some of the results obtained by the authors in previous studies.
Dao Nguyen Anh
doaj +1 more source
On weighted Sobolev interpolation inequalities [PDF]
Proceedings of the American Mathematical Society, 1994 We obtain some weighted Sobolev interpolation inequalities on R n
openaire +2 more sources
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 +2 more
wiley +1 more source
Critical and subcritical fractional Trudinger–Moser-type inequalities on ℝ\mathbb{R}
Advances in Nonlinear Analysis, 2017 In this paper, we are concerned with the critical and subcritical Trudinger–Moser-type inequalities for functions in a fractional Sobolev space H1/2,2{H^{1/2,2}} on the whole real line.
Takahashi Futoshi
doaj +1 more source
A NOTE ON THE SUBLINEAR SOBOLEV INEQUALITY [PDF]
International Journal of Functional Analysis, Operator Theory and Applications, 2016 In this note we show that the classical Sobolev inequality cannot in unrestricted form hold for exponents $p \in (0,1)$.
openaire +2 more sources
On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15010-15055, 15 September 2026.ABSTRACT We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of Forchheimer‐type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a nonlinear partial differential equation for the pseudo‐pressure.
Emine Celik, Luan Hoang, Thinh Kieu
wiley +1 more source