Analysis of Deep Ritz Methods for Semilinear Elliptic Equations

JOURNAL ARTICLE published June 2024 in Numerical Mathematics: Theory, Methods and Applications

Authors: Mo Chen | Yuling Jiao | Xiliang Lu | Pengcheng Song | Fengru Wang null | Jerry Zhijian Yang

Optimal estimate on life span for semilinear heat equations with non-rarefied sources at infinity

JOURNAL ARTICLE published June 2024 in Journal of Differential Equations

Research funded by National Natural Science Foundation of China (12171166)

Authors: Liting You | Jingxue Yin | Yong Luo

Fujita exponent for the global-in-time solutions to a semilinear heat equation with non-homogeneous weights

JOURNAL ARTICLE published June 2024 in Journal of Evolution Equations

Research funded by Japan Society for the Promotion of Science London (20K03689,22KK0035) | Division of Mathematical Sciences (2154219)

Authors: Tatsuki Kawakami | Yannick Sire | Jiayi Nikki Wang

Pathological set with loss of regularity for nonlinear Schrödinger equations

JOURNAL ARTICLE published 8 May 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Rémi Carles | Louise Gassot

The density–density response function in time-dependent density functional theory: Mathematical foundations and pole shifting

JOURNAL ARTICLE published 2 May 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Thiago Carvalho Corso | Mi-Song Dupuy | Gero Friesecke

Lack of local controllability for a water-tank system when the time is not large enough

JOURNAL ARTICLE published 2 May 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Jean-Michel Coron | Armand Koenig | Hoai-Minh Nguyen

Time-periodic solutions of completely resonant Klein–Gordon equations on $mathbb{S}^{3}$

JOURNAL ARTICLE published 26 April 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Massimiliano Berti | Beatrice Langella | Diego Silimbani

Traveling waves and finite gap potentials for the Calogero–Sutherland derivative nonlinear Schrödinger equation

JOURNAL ARTICLE published 22 April 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Rana Badreddine

Nonlinear enhanced dissipation in viscous Burgers-type equations

JOURNAL ARTICLE published 19 April 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Tej-Eddine Ghoul | Nader Masmoudi | Eliot Pacherie

Cluster of vortex helices in the incompressible three-dimensional Euler equations

JOURNAL ARTICLE published 9 April 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Ignacio Guerra | Monica Musso

Sharp regularization effect for the non-cutoff Boltzmann equation with hard potentials

JOURNAL ARTICLE published 9 April 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Jun-Ling Chen | Wei-Xi Li | Chao-Jiang Xu

Norm inflation for solutions of semi-linear one-dimensional Klein–Gordon equations

JOURNAL ARTICLE published 3 April 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Jean-Marc Delort

Corrigendum to “Logarithmic Sobolev and interpolation inequalities on the sphere: Constructive stability results”

JOURNAL ARTICLE published 2 April 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Giovanni Brigati | Jean Dolbeault | Nikita Simonov

Hölder continuity of the gradients for non-homogenous elliptic equations of p(x)-Laplacian type

JOURNAL ARTICLE published April 2024 in Annals of Functional Analysis

Authors: Fengping Yao

Asymptotic stability of the fourth-order $phi^{4}$ kink for general perturbations in the energy space

JOURNAL ARTICLE published 27 March 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Christopher Maulén | Claudio Muñoz

An rp-weighted local energy approach to global existence for null form semilinear wave equations

JOURNAL ARTICLE published 15 March 2024 in Involve, a Journal of Mathematics

Authors: Michael Facci | Alex McEntarrfer | Jason Metcalfe

On the long-time behavior of compressible fluid flows excited by random forcing

JOURNAL ARTICLE published 28 February 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Dominic Breit | Eduard Feireisl | Martina Hofmanová

Quantitative stochastic homogenization of nonlinearly elastic, random laminates

JOURNAL ARTICLE published 22 February 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Stefan Neukamm | Mathias Schäffner | Mario Varga

Approximate control of parabolic equations with on-off shape controls by Fenchel duality

JOURNAL ARTICLE published 22 February 2024 in Annales de l'Institut Henri Poincaré C, Analyse non linéaire

Authors: Camille Pouchol | Emmanuel Trélat | Christophe Zhang

Application of Non-Linear Evolution Stochastic Equations with Asymptotic Null Controllability Analysis

JOURNAL ARTICLE published 26 February 2024 in International Journal of Mathematics and Statistics Studies

Authors: I.U. Amadi | L.C. Nnoka | C.P Amadi