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
Decay estimates for Cayley transforms and inverses of semigroup generators via the \(\mathcal {B}\)-calculus Masashi Wakaiki OriginalPaper Open access 24 May 2024 Article: 48
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
Potential stability of the Fokker–Planck equation Ming-Jiea LyuDong-Ho TsaiKung-Chien Wu OriginalPaper 24 May 2024 Article: 46
Evolutionary equations are G-compact Krešimir BurazinMarko ErcegMarcus Waurick OriginalPaper Open access 11 May 2024 Article: 45
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
Bi-objective and hierarchical control for the Burgers equation F. D. ArarunaE. Fernández-CaraL. C. da Silva OriginalPaper 15 March 2024 Article: 30
Stability estimates for semigroups in the Banach case B. Helffer OriginalPaper 15 March 2024 Article: 29
Refined decay rates of \(C_0\)-semigroups on Banach spaces Genilson SantanaSilas L. Carvalho OriginalPaper 15 March 2024 Article: 28
A perturbative approach to Hölder continuity of solutions to a nonlocal p-parabolic equation Alireza Tavakoli OriginalPaper Open access 15 March 2024 Article: 27
A critical exponent in a quasilinear Keller–Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects Christian StinnerMichael Winkler OriginalPaper Open access 15 March 2024 Article: 26
On the high friction limit for the complete Euler system Eduard FeireislPiotr GwiazdaAgnieszka Świerczewska-Gwiazda OriginalPaper 15 March 2024 Article: 25
Remarks on uniqueness and energy conservation for electron-MHD system Fan Wu OriginalPaper 15 March 2024 Article: 24
Some aspects of the Floquet theory for the heat equation in a periodic domain Marcus RosenbergJari Taskinen OriginalPaper Open access 15 March 2024 Article: 23
The Stokes Dirichlet-to-Neumann operator C. DenisA. F. M. ter Elst OriginalPaper 15 March 2024 Article: 22
On the separation property and the global attractor for the nonlocal Cahn-Hilliard equation in three dimensions Andrea Giorgini OriginalPaper Open access 15 March 2024 Article: 21
Strong solutions and attractor dimension for 2D NSE with dynamic boundary conditions Dalibor PražákMichael Zelina OriginalPaper Open access 15 March 2024 Article: 20
Generic alignment conjecture for systems of Cucker–Smale type Roman Shvydkoy OriginalPaper 15 March 2024 Article: 19
Existence of a unique global solution, and its decay at infinity, for the modified supercritical dissipative quasi-geostrophic equation Wilberclay G. Melo OriginalPaper 15 March 2024 Article: 18
Well-posedness and longtime dynamics for the finitely degenerate parabolic and pseudo-parabolic equations Gongwei LiuShuying Tian OriginalPaper 26 February 2024 Article: 17
Nonlinear partial differential equations on noncommutative Euclidean spaces Edward McDonald OriginalPaper 26 February 2024 Article: 16
Homogeneous Sobolev global-in-time maximal regularity and related trace estimates Anatole Gaudin OriginalPaper 12 February 2024 Article: 15
Well-posedness and asynchronous exponential growth of an age-weighted structured fish population model with diffusion in \(L^1\) Samir BoujijaneSaid BouliteAbdelaziz Rhandi OriginalPaper 10 February 2024 Article: 14
Long time behavior of solutions of an electroconvection model in \({\mathbb {R}}^2\) Elie AbdoMihaela Ignatova OriginalPaper 10 February 2024 Article: 13
Stability and optimal decay for the 3D magnetohydrodynamic equations with only horizontal dissipation Haifeng ShangJiahong WuQian Zhang OriginalPaper 10 February 2024 Article: 12
Pointwise space-time estimates of two-phase fluid model in dimension three Zhigang WuWenyue Zhou OriginalPaper 10 February 2024 Article: 11
Existence of a weak solution and blow-up of strong solutions for a two-component Fornberg–Whitham system Zhihao BaiYang WangLong Wei OriginalPaper 10 February 2024 Article: 10
On a thermodynamically consistent model for magnetoviscoelastic fluids in 3D Hengrong DuYuanzhen ShaoGieri Simonett OriginalPaper 10 February 2024 Article: 9
Finite- and infinite-time cluster formation for alignment dynamics on the real line Trevor M. LeslieChanghui Tan OriginalPaper 10 February 2024 Article: 8
Orbital instability of periodic waves for scalar viscous balance laws Enrique ÁlvarezJaime Angulo PavaRamón G. Plaza OriginalPaper Open access 17 January 2024 Article: 7
Persistence and asymptotic analysis of solutions of nonlinear wave equations Igor Leite Freire OriginalPaper 17 January 2024 Article: 6
Rate of convergence for reaction–diffusion equations with nonlinear Neumann boundary conditions and \({\mathcal {C}}^1\) variation of the domain Marcone C. PereiraLeonardo Pires OriginalPaper 11 January 2024 Article: 5
A Kalman condition for the controllability of a coupled system of Stokes equations Takéo TakahashiLuz de TeresaYingying Wu-Zhang OriginalPaper 11 January 2024 Article: 4