Isahi Sánchez Suárez

• Universidad Politecnica de Uruapan Michoacan

The study of human grasp forces is fundamental for the development of rehabilitation programs and the design of prosthetic hands in order to restore hand function. The purpose of this work was to classify multiple grasp types used in activities of daily living (ADLs) based on finger force data. For this purpose, we developed a deep neural network (...

We study the Cauchy problem for the fractional nonlinear Schrödinger equation $$\left\{{\matrix{{i{\partial _t}u + {1 \over \alpha}{{\left| {{\partial _x}} \right|}^\alpha}u = \lambda |u{|^2}u,\,\,t>0,} \hfill\;\;\;\;\;\;\;\;\;\;\;\; {x \in \mathbb{R},} \hfill \cr {u(0,x) = {u_0}(x),} \hfill\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;...

We study the large time asymptotics for solutions to the Cauchy problem for the fractional modified Korteweg-de Vries equation $$\begin{aligned} \left\{ \begin{array}{c} \partial _{t}w+\frac{1}{\alpha }\left| \partial _{x}\right| ^{\alpha -1}\partial _{x}w=\partial _{x}\left( w^{3}\right) ,\,t>0,\, x\in {\mathbb {R}}\mathbf {,} \\ w\left( 0,x\right...

The Action Research Arm Test (ARAT) can provide subjective results due to the difficulty assessing abnormal patterns in stroke patients. The aim of this study was to identify joint impairments and compensatory grasping strategies in stroke patients with left (LH) and right (RH) hemiparesis. An experimental study was carried out with 12 patients six...

The Action Research Arm Test (ARAT) is a standardized outcome measure that can be improved by integrating sensors for hand motion analysis. The purpose of this study is to measure the flexion angle of the finger joints and fingertip forces during the performance of three subscales (Grasp, Grip, and Pinch) of the ARAT, using a data glove (CyberGlove...

We consider the Cauchy problem for the higher-order nonlinear Schrodinger equation $$\displaylines{ i\partial_t u-\frac{a}{3}| \partial_x| ^3u-\frac{b}{4}\partial_x^4u =\lambda i\partial_x(| u|^2u),\quad (t,x) \in\mathbb{R}^{+}\times \mathbb{R},\cr u(0,x) =u_0(x),\quad x\in\mathbb{R}, }$$ where \(a,b>0\), \(| \partial_x| ^{\alpha}=\mathcal{F}^{-1}|...

We consider the Cauchy problem for the fractional nonlinear Schrödinger equation $$\begin{aligned} \left\{ \begin{array}{ll} i\partial _{t}u+\frac{2}{3}\left| \partial _{x}\right| ^{\frac{3}{2} }u=\lambda \left| u\right| ^{2}u,\,\, t>0, &{}\quad x\in \mathbb {R},\\ u\left( 1,x\right) =u_{0}\left( x\right) ,&{}\quad x\in \mathbb {R}. \end{array}\rig...

We consider the Cauchy problem for the higher-order nonlinear Schrödinger equation (0.1)i∂tu+12∂x2u−14∂x4u=i3λ1u3+λ2u2u,t>1,x∈R,u1,x=u0x,x∈R,where the coefficients 0<λ1<λ2. The aim of the present paper is to prove the global existence of solutions to (??). Also we find the large time decay estimates for the solutions.

We consider the modified Witham equation (Equation Presented) where √a²-∂²x means the dispersion relation which correspond to nonlinear Kelvin and continental-shelf waves. We develop the factorization technique to study the large time asymptotics of solutions. © 2018 American Institute of Mathematical Sciences. All rights reserved.

We consider the modified intermediate long-wave equation ut−∂xu3+1ux+VP∫R12coth(π(y−x)2)uyy(t,y)dy=0. We develop the factorization technique to study the large time asymptotics of solutions.

We consider the Cauchy problem for the critical nongauge invariant nonlinear Schrödinger equations iut + 1/2uxx = iμūαuβ, x ∈ R, t > 0, u (0, x) = u0 (x), x ∈ R, (1) where β > α ≥ 0, α + β ≥ 2, μ = -iw/2tθ/2-1, w = β - α -1, θ = α + β - 1. We prove that there exists a unique solution u ∈ C ([0, ∞)H1 ∩ H0,1) of the Cauchy problem (1). Also we find t...

We consider the initial-boundary-value problem for a nonlinear pseudodifferential equation on a segment. We are interested in the case of a nonanalytic symbol of the pseudodifferential operator $K(p)=\sqrt{\left\vert p\right\vert }.$ We study traditionally important problems of the theory of nonlinear partial differential equations, such as global-...

We study the Cauchy problem for the model nonlinear equation [GRAPHICS] where sigma > 0, lambda is an element of R. We are interested in the critical and subcritical powers of the nonlinearity, especially in the case of large initial data co frorn L-1,L-a boolean AND L-infinity. We prove that the Cauchy problem (0.1) has a unique global solution u...

We study the global existence and large time asymptotic behavior of solutions to the initial-boundary value problem for the nonlinear nonlocal Schrödinger equation on a segment (0, a) where the pseudodifferential operator K has the dissipation propery and the symbol of order α ε (0, 1). We prove that if the initial data u 0 ε L ∞ are small, then th...

Résumé ku The problem studied in this research paper is the problem of initial value with value in the border for heat transmission equation in the half-line for x> 0: