Results 91 to 100 of about 11,046,071 (291)
Linear and Nonlinear Perturbed Wave Equations [PDF]
, 2008 We consider several Cauchy problems for the wave equation with some perturbation. First of all, we consider the wave equation with a metric perturbation, that is, we consider the d'Alembert operator in the Schwarzschild metric (which is a model for a ...
CATANIA, DAVIDE
core
Advanced Science, EarlyView.The mechanism diagram of VDAC1 mediating neuronal excitability and neuropathic pain. Briefly, VDAC1 is expressed in DRG neurons and is upregulated following CCI‐induced neuropathic pain. This upregulation enhances ATP transport from mitochondria to the cytoplasm in sensory neurons, leading to increased neuronal excitability and pain behavior.
Fengrun Sun +7 more
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Blow-up set for type I blowing up solutions for a semilinear heat equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2014 Let u be a type I blowing up solution of the Cauchy–Dirichlet problem for a semilinear heat equation, \left\{\begin{matrix} \partial _{t}u = \mathrm{\Delta }u + u^{p}, & x \in \Omega ,\:t > 0, \\ u(x,t) = 0, & x \in \partial ...
Fujishima, Yohei, Ishige, Kazuhiro
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Advanced Science, EarlyView.Continuous wet‐spinning of PANI with TeNWs yields a multifunctional microfiber. Oriented TeNWs impose chain alignment and enhance π‐electron delocalization, boosting the Seebeck coefficient to 59.9 µV K−1 for passive temperature sensing (1 K detection limit), while achieving high pH sensitivity (59.25 mV pH−1) and rapid NH3 response (0.96 s).
Dongmei Xie +10 more
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Advanced Science, EarlyView.Our research elucidates the systematic evolution of the microstructure and optoelectronic properties of n‐a‐Si:H governed by the phosphine dilution ratio. Optimally phosphorus‐doped n‐a‐Si:H is integrated with Te to form a flexible heterojunction, enabling high‐performance near‐infrared photodetectors.
Kyeong‐jin Hyun +7 more
wiley +1 more source
On Blow-up of Solutions for Quasilinear Degenerate Parabolic Equations
Publications of the Research Institute for Mathematical Sciences, 1991 Let \(\Omega\) be a bounded domain in \(\mathbb{R}^ n\) with smooth boundary \(\partial\Omega\). In this paper the authors consider the parabolic initial-boundary value problem \[ (a(u))_ t= \Delta u+f(u) \qquad \text{in} \qquad \Omega\times (0,T), \] \[ Bu(x,t)=0 \quad \text{on} \quad \partial\Omega\times (0,T), \qquad u(x,0)= u_ 0(x) \quad \text{in} \
Imai, Takashi, Mochizuki, Kiyoshi
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Properties of a Parabolic System with Memory boundary Condition
四川大学学报. 自然科学版, 2016 We study the blow-up for a parabolic system with a nonlinear memory boundary condition. By using the super-sub solution method and the integration technique, we obtain the complete classification for finite time blow-up and global existence.
LI Hui-fang, PANG Feng-qin, Wang Yu-Lan
doaj
Journal of MathematicsThis article obtains the conditions for the existence and nonexistence of weak solutions for a variation-inequality problem. This variational inequality is constructed by a fourth-order non-Newtonian polytropic operator which is receiving much attention ...
Jia Li, Xuelian Bai
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Advanced Science, EarlyView.Caspofungin heteroresistance is prevalent in clinical Candida glabrata isolates and depends on calcineurin‐mediated stress adaptation. This transient phenotype serves as a reservoir for resistance evolution, enabling the emergence of stable resistant descendants under prolonged drug pressure.
Yanyu Su +7 more
wiley +1 more source
On blow-up solutions of parabolic problems [PDF]
, 2012 This thesis is concerned with the study of the Blow-up phenomena for parabolic problems, which can be defined in a basic way as the inability to continue the solutions up to or after a finite time, the so called blow-up time. Namely, we consider the blow-up location in space and its rate estimates, for special cases of the following types of problems ...
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