Results 111 to 120 of about 2,172 (181)

From Sontag s to Cardano-Lyapunov Formula for Systems Not Affine in the Control: Convection-Enabled PDE Stabilization

We propose the first generalization of Sontag s universal controller to systems not affine in the control, particularly, to PDEs with boundary actuation.
Belhadjoudja, Mohamed Camil, Maghenem, Mohamed, Krstic, Miroslav, Witrant, Emmanuel   +3 more
core  

Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization. [PDF]

Sci Rep
Sasaki S, Endo K, Muramatsu M.
europepmc   +1 more source

Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley   +1 more source

Deterministic, stochastic, and mean-field PDE models in neuroscience. [PDF]

Front Comput Neurosci
Çetin C, Piqueira JRC, İzgi B, Peker-Dobie A, Ahmetolan S, Özkaya M.   +5 more
europepmc   +1 more source

Stable factorization of the Calderón problem via the Born approximation

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé, Fabricio Macià, Cristóbal Meroño, François Nicoleau   +3 more
wiley   +1 more source

Plant-derived exosomes: an emerging delivery platform for cancer therapy. [PDF]

J Nanobiotechnology
Zhou Y, Zhao X, Li M, Liu Y, Wu Y, Fan M, Cai S, Zheng W, Wang L.   +8 more
europepmc   +1 more source

Generative discovery of partial differential equations by learning from math handbooks. [PDF]

Nat Commun
Xu H, Chen Y, Cao R, Tang T, Du M, Li J, Callaghan AH, Zhang D.   +7 more
europepmc   +1 more source

Fast automated adjoints for spectral PDE solvers. [PDF]

Proc Natl Acad Sci U S A
Skene CS, Burns KJ.
europepmc   +1 more source

THE ROLE OF FUNCTIONAL ANALYSIS AND BANACH SPACE TECHNIQUES IN MODERN MATHEMATICAL ANALYSIS AND THEIR APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS

This paper explores the significant role of functional analysis and Banach space theory within modern mathematical analysis, particularly in the context of solving partial differential equations (PDEs).
Gayipov Mansurbek Yangibaevich
core  

ON THE FILTERED SPECTRAL ABSCISSA FOR DELAY-DIFFERENCE EQUATIONS AND ITS ROLE IN THE BOUNDARY CONTROL OF HYPERBOLIC PDES

Feedback control systems governed by delay-differential equations of neutral type may be fragile, in the sense that arbitrarily small parametric perturbations and implementation errors of the control may destroy the exponential stability of the target ...
Auriol, Jean, Bribiesca-Argomedo, Federico, Michiels, Wim   +2 more
core   +1 more source