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Log-Sobolev inequalities and hypercontractivity for Ornstein – Uhlenbeck evolution operators in infinite dimension Davide A. BignaminiPaolo De Fazio OriginalPaper 13 September 2024 Article: 78
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Global strong solutions with large oscillations to the 3D full compressible Navier–Stokes equations without heat conductivity Haibo Yu OriginalPaper 24 August 2024 Article: 71
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Global Cauchy problem for the Vlasov–Riesz–Fokker–Planck system near the global Maxwellian Young-Pil ChoiIn-Jee JeongKyungkeun Kang OriginalPaper 30 July 2024 Article: 67
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Global existence and scattering for the inhomogeneous nonlinear Schrödinger equation Lassaad AlouiSlim Tayachi OriginalPaper 05 July 2024 Article: 61
Local and global strong solutions to the 3D Navier–Stokes equations with damping Kwang-Ok LiYong-Ho KimSung-Il O OriginalPaper 05 July 2024 Article: 60
Existence and convergence of the length-preserving elastic flow of clamped curves Fabian RuppAdrian Spener OriginalPaper Open access 02 July 2024 Article: 59
Algebraic decay rates for 3D Navier–Stokes and Navier–Stokes–Coriolis equations in \( \dot{H}^{\frac{1}{2}}\) Masahiro IkedaLeonardo KosloffGabriela Planas OriginalPaper 29 June 2024 Article: 58
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Fujita exponent for non-local parabolic equation involving the Hardy–Leray potential Boumediene AbdellaouiGiovanni SiclariAna Primo OriginalPaper Open access 22 June 2024 Article: 55
On \(L^2\) decay of weak solutions of several incompressible fluid models Huan Yu OriginalPaper 22 June 2024 Article: 54
Uniform convergence of solutions to stochastic hybrid models of gene regulatory networks Alexander DobrickJulian Hölz OriginalPaper Open access 09 June 2024 Article: 53
On the second boundary value problem for a class of fully nonlinear flow III Chong WangRongli HuangJiguang Bao OriginalPaper 09 June 2024 Article: 52
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order Aparajita DasguptaVishvesh KumarMichael Ruzhansky OriginalPaper Open access 09 June 2024 Article: 51
An inf-sup approach to \(C_0\)-semigroup generation for an interactive composite structure-Stokes PDE dynamics Pelin G. Geredeli OriginalPaper Open access 09 June 2024 Article: 50
Vertical maximal functions on manifolds with ends Himani SharmaAdam Sikora OriginalPaper Open access 09 June 2024 Article: 49
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Dispersive decay bound of small data solutions to Kawahara equation in a finite time scale Jongwon Lee OriginalPaper Open access 24 May 2024 Article: 47
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Fujita exponent for the global-in-time solutions to a semilinear heat equation with non-homogeneous weights Tatsuki KawakamiYannick SireJiayi Nikki Wang OriginalPaper 11 May 2024 Article: 44
Temporal approximation of stochastic evolution equations with irregular nonlinearities Katharina KliobaMark Veraar OriginalPaper Open access 09 May 2024 Article: 43
New lower bounds for the radius of analyticity for the mKdV equation and a system of mKdV-type equations Renata O. FigueiraMahendra Panthee OriginalPaper 07 May 2024 Article: 42
Three evolution problems modeling the interaction between acoustic waves and non-locally reacting surfaces Enzo Vitillaro OriginalPaper Open access 04 May 2024 Article: 41
Second-order sufficient conditions in optimal control of evolution systems H. FrankowskaE. M. MarchiniM. Mazzola OriginalPaper 27 April 2024 Article: 40
Solvability of the Cauchy problem for fractional semilinear parabolic equations in critical and doubly critical cases Yasuhito MiyamotoMasamitsu Suzuki OriginalPaper 26 April 2024 Article: 39
On maximal attractors for dynamical systems. Application to a semilinear parabolic problem with controlled growth Matheus Cheque BortolanJuan Garcìa-FuentesPiotr Kalita OriginalPaper 22 April 2024 Article: 38
Strong solutions to McKean–Vlasov SDEs with coefficients of Nemytskii type: the time-dependent case Sebastian Grube OriginalPaper Open access 22 April 2024 Article: 37
Propagation of anisotropic Gabor singularities for Schrödinger type equations Marco CappielloLuigi RodinoPatrik Wahlberg OriginalPaper Open access 02 April 2024 Article: 36
Large deviation principle for multi-scale distribution-dependent stochastic differential equations driven by fractional Brownian motions Guangjun ShenHuan ZhouJiang-Lun Wu OriginalPaper 02 April 2024 Article: 35
Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces Effie Papageorgiou OriginalPaper Open access 01 April 2024 Article: 34
Perturbation of parabolic equations with time-dependent linear operators: convergence of linear processes and solutions Maykel Belluzi OriginalPaper 01 April 2024 Article: 33
KFP operators with coefficients measurable in time and Dini continuous in space S. BiagiM. BramantiB. Stroffolini OriginalPaper Open access 01 April 2024 Article: 32
Sharp ill-posedness for the Hunter–Saxton equation on the line Yingying GuoWeikui YeZhaoyang Yin OriginalPaper 01 April 2024 Article: 31