Results 21 to 30 of about 3,679,425 (232)

Logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg--de Vries equation. [PDF]

, 2012
The periodic KdV equation arises from a Hamiltonian system with infinite-dimensional phase space L^2(T). Bourgain has shown that there exists a Gibbs measure \nu on balls in the phase space such that the Cauchy problem for KdV is well posed on the ...
Blower, Gordon
core   +5 more sources

Global Existence and Decay Estimates of Energy of Solutions for a New Class of p-Laplacian Heat Equations with Logarithmic Nonlinearity

Journal of Function Spaces, 2021
The present research paper is related to the analytical studies of p-Laplacian heat equations with respect to logarithmic nonlinearity in the source terms, where by using an efficient technique and according to some sufficient conditions, we get the ...
Salah Mahmoud Boulaaras, Abdelbaki Choucha, Abderrahmane Zara, Mohamed Abdalla, Bahri-Belkacem Cheri   +4 more
doaj   +1 more source

Blow-Up of Solution of Lamé Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms

Mathematics, 2023
In this work, by the use of a semigroup theory approach, we provide a global solution for an initial boundary value problem of the wave equation with logarithmic nonlinear source terms and fractional boundary dissipation.
Amina Benramdane, Nadia Mezouar, Fatna Bensaber, Salah Boulaaras, Rashid Jan   +4 more
doaj   +1 more source

A class of fourth-order parabolic equation with logarithmic nonlinearity

Journal of Inequalities and Applications, 2018
In this paper, we study a class of fourth-order parabolic equation with the logarithmic nonlinearity. By using the potential well method, we obtain the existence of the unique global weak solution. In addition, we also obtain results of decay and blow-up
Pingping Li, Changchun Liu
doaj   +1 more source

Logarithmic Sobolev inequalities and spectral concentration for the cubic Shrödinger equation [PDF]

, 2014
The nonlinear Schr\"odinger equation $\NLSE(p, \beta)$, $-iu_t=-u_{xx}+\beta \vert u\vert^{p-2} u=0$, arises from a Hamiltonian on infinite-dimensional phase space $\Lp^2(\mT)$. For $p\leq 6$, Bourgain (Comm. Math. Phys. 166 (1994), 1--26) has shown that
Doust, Ian, Blower, Gordon, Brett, Caroline   +2 more
core   +4 more sources

Global Existence of Solutions for the Viscoelastic Kirchhoff Equation with Logarithmic Source Terms

Complexity, 2020
In this paper, a nonlinear viscoelastic Kirchhoff equation in a bounded domain with a time-varying delay term and logarithmic nonlinearity in the weakly nonlinear internal feedback is considered, where the global and local existence of solutions in ...
Nadia Mezouar, Salah Mahmoud Boulaaras, Ali Allahem   +2 more
doaj   +1 more source

Unilateral Problem for a Viscoelastic Beam Equation Type p-Laplacian with Strong Damping and Logarithmic Source

European Journal of Mathematical Analysis, 2022
In this manuscript, we investigate the unilateral problem for a viscoelastic beam equation of p-Laplacian type. The competition of the strong damping versus the logarithmic source term is considered. We use the potential well theory.
Ducival C. Pereira, Geraldo M. de Araújo, Carlos A. Raposo   +2 more
doaj   +1 more source

Convergence Rate of the Modified Landweber Method for Solving Inverse Potential Problems

Mathematics, 2020
In this paper, we present the convergence rate analysis of the modified Landweber method under logarithmic source condition for nonlinear ill-posed problems. The regularization parameter is chosen according to the discrepancy principle.
Pornsarp Pornsawad, Parada Sungcharoen, Christine Böckmann   +2 more
doaj   +1 more source

Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions

FEBS Letters, EarlyView.
The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang, Hyo Been Jin, Chang Min Kim, So Yeon Lee, Hyun Ho Park   +4 more
wiley   +1 more source

On the Global Behaviour of Solutions for a Delayed Viscoelastic-Type Petrovesky Wave Equation with p-Laplacian Operator and Logarithmic Source

Mathematics, 2022
This research is concerned with a nonlinear p-Laplacian-type wave equation with a strong damping and logarithmic source term under the null Dirichlet boundary condition.
Bochra Belhadji, Jehad Alzabut, Mohammad Esmael Samei, Nahid Fatima   +3 more
doaj   +1 more source