Results 101 to 110 of about 53,983 (280)
Convergence of Galerkin approximations for operator Riccati equations: A nonlinear evolution equation approach [PDF]
An approximation and convergence theory was developed for Galerkin approximations to infinite dimensional operator Riccati differential equations formulated in the space of Hilbert-Schmidt operators on a separable Hilbert space.
Rosen, I. G.
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Advanced Science, EarlyView.Hybrid FRET–BRET biosensors were developed to monitor RAF–KRAS interactions in living cells. These sensors enable real‐time visualization of interaction dynamics, quantitative spectral analysis, and validation of mutation‐selective inhibitors, providing a versatile platform for probing KRAS regulation and therapeutic responses. ABSTRACT The RAS–RAF–MEK–
Jeong‐Min Go +12 more
wiley +1 more source
Advanced Science, EarlyView.This study investigates how the internal structure of fiber‐reinforced ceramic composites affects their resistance to damage. By combining 3D X‐ray imaging with acoustic emission monitoring during mechanical testing, it reveals how silicon distribution influences crack formation.
Yang Chen +7 more
wiley +1 more source
Quasilinear parabolic equations with nonlinear monotone boundary conditions
Topological Methods in Nonlinear Analysis, 1999 The author studies the existence of a unique strong solution for a nonlinear parabolic problem, in which the space variable \(x\in (0,1)\). The basic idea is to regard it as a Cauchy problem in \(L^2(0,1)\), associated with a nonlinear operator, which is maximal monotone provided that some appropriate assumptions are fulfilled.
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AI‐Enhanced Vibrational Capsule for Minimally Invasive Detection of Abnormal Bowel Tissue
Advanced Science, EarlyView.A fully integrated vibration‐assisted capsule is presented for the minimally invasive detection of bowel lesions. The capsule incorporates a wireless sensor and an eccentric motor to probe tissue mechanics in situ. By coupling triaxial vibration signals with AI‐based classification and analytical modeling, the system enables early, non‐visual ...
Xizheng Fang +6 more
wiley +1 more source
An approximation theory for the identification of nonlinear distributed parameter systems [PDF]
An abstract approximation framework for the identification of nonlinear distributed parameter systems is developed. Inverse problems for nonlinear systems governed by strongly maximal monotone operators (satisfying a mild continuous dependence condition ...
Banks, H. T. +2 more
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Advanced Science, EarlyView.This study shows that amyloid fibrils form nematic condensates via liquid–liquid crystalline phase separation (LLCPS). With increasing pH, this transition shifts toward disordered condensates formed through liquid–liquid phase separation (LLPS), in which birefringence with lack of a coherent nematic field symmetry originates from enthalpic fibril ...
Milad Radiom, Raffaele Mezzenga
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Existence of solutions of a nonlinear system modelling fluid flow in porous media
Electronic Journal of Differential Equations, 2006 We investigate the existence of weak solutions for nonlinear differential equations that describe fluid flow through a porous medium. Existence is proved using the theory of monotone operators, and some examples are given.
dam Besenyei
doaj
Fixed Point Theorems on Nonlinear Binary Operator Equations with Applications
Discrete Dynamics in Nature and Society, 2014 The existence and uniqueness for solution of systems of some binary nonlinear operator equations are discussed by using cone and partial order theory and monotone iteration theory.
Baomin Qiao
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Semilinear equations with strongly monotone nonlinearity
Le Matematiche, 1997 Let \(H\) be a Hilbert space and the operator \(F: H \rightarrow H\) satisfy, for some \(m, M > 0,\) the conditions: (i) \(\langle F(u) - F(v), u - v\rangle \geq m\cdot|u - v|^2\), \(\forall u,v \in H;\) (ii) \(|F(u) - F(v)|\leq M\cdot |u - v|\), \(\forall u,v \in H\). If an operator \(A: D(A) \subset H \rightarrow H\) is either: a) maximal monotone; b)
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