Search Results - "Santamaria, Victor"

Small order asymptotics for nonlinear fractional problems by Hernández Santamaría, Víctor, Saldaña, Alberto

“…We study the limiting behavior of solutions to boundary value nonlinear problems involving the fractional Laplacian of order 2 s when the parameter s tends to…”
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Controllability of a one-dimensional fractional heat equation: theoretical and numerical aspects by Biccari, Umberto, Hernández-Santamaría, Víctor

“…Abstract We analyse the controllability problem for a one-dimensional heat equation involving the fractional Laplacian $(-d_x^{\,2})^{s}$ on the interval…”
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Positive and nodal limiting profiles for a semilinear elliptic equation with a shrinking region of attraction by Clapp, Mónica, Hernández-Santamaría, Víctor, Saldaña, Alberto

“…We study the existence and concentration of positive and nodal solutions to a Schrödinger equation in the presence of a shrinking self-focusing core of…”
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Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations by Hernández-Santamaría, Víctor, Peralta, Liliana

“…In this paper, we study some controllability and observability problems for stochastic systems coupling fourth- and second-order parabolic equations. The main…”
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Carleman estimates and controllability results for fully discrete approximations of 1D parabolic equations by Casanova, Pedro González, Hernández-Santamaría, Víctor

“…In this paper, we prove a Carleman estimate for fully discrete approximations of one-dimensional parabolic operators in which the discrete parameters h and △ t…”
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Greedy optimal control for elliptic problems and its application to turnpike problems by Hernández-Santamaría, Víctor, Lazar, Martin, Zuazua, Enrique

“…We adapt and apply greedy methods to approximate in an efficient way the optimal controls for parameterized elliptic control problems. Our results yield an…”
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Boundary null-controllability of 1-D coupled parabolic systems with Kirchhoff-type conditions by Bhandari, Kuntal, Boyer, Franck, Hernández-Santamaría, Víctor

“…The main concern of this article is to investigate the boundary controllability of some 2 × 2 one-dimensional parabolic systems with both the interior and…”
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Boundary Controllability of a Simplified Stabilized Kuramoto-Sivashinsky System by Hernández-Santamaría, Víctor, Mercado, Alberto, Visconti, Piero

“…In this paper, we study the controllability of a nonlinear system of coupled second- and fourth-order parabolic equations. This system can be regarded as a…”
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Characterizing the Effects of Adding Virtual and Augmented Reality in Robot-Assisted Training by Ai, Xupeng, Santamaria, Victor, Agrawal, Sunil K.

“…Extended reality (XR) technology combines physical reality with computer synthetic virtuality to deliver immersive experience to users. Virtual reality (VR)…”
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Existence and Convergence of Solutions to Fractional Pure Critical Exponent Problems by Hernández-Santamaría Víctor, Saldaña Alberto

“…We study existence and convergence properties of least-energy symmetric solutions (l.e.s.s.) to the pure critical exponent problem…”
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Local Null-Controllability of a Nonlocal Semilinear Heat Equation by Hernández-Santamaría, Víctor, Le Balc’h, Kévin

“…This paper deals with the problem of internal null-controllability of a heat equation posed on a bounded domain with Dirichlet boundary conditions and…”
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Local controllability of the one-dimensional nonlocal Gray–Scott model with moving controls by Hernández-Santamaría, Víctor, Le Balc’h, Kévin

“…In this paper, we prove the local controllability to positive constant trajectories of a nonlinear system of two coupled ODE equations, posed in the…”
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Effects of Boundary-Based Assist-as-Needed Force Field on Lower Limb Muscle Synergies During Standing Posture Training by Ai, Xupeng, Santamaria, Victor, Omofuma, Isirame, Agrawal, Sunil K.

“…The boundary-based assist-as-needed (BAAN) force field is widely used in robotic rehabilitation and has shown promising results in improving trunk control and…”
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The Poisson equation from non-local to local by Umberto Biccari, Victor Hernandez-Santamaria

“…We analyze the limiting behavior as $s\to 1^-$ of the solution to the fractional Poisson equation $(-\Delta)^s{u_s}=f_s$, $x\in\Omega$ with homogeneous…”
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Global null-controllability for stochastic semilinear parabolic equations by Hernández-Santamaría, Víctor, Le Balc’h, Kévin, Peralta, Liliana

“…In this paper we prove the small-time global null-controllability of forward (respectively backward) semilinear stochastic parabolic equations with globally…”
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Statistical null-controllability of stochastic nonlinear parabolic equations by Hernández-Santamaría, Víctor, Le Balc’h, Kévin, Peralta, Liliana

“…In this paper, we consider forward stochastic nonlinear parabolic equations with a control localized in the drift term. Under suitable assumptions, we prove…”
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A Deep-Learning Based Real-Time Prediction of Seated Postural Limits and its Application in Trunk Rehabilitation by Ai, Xupeng, Santamaria, Victor, Chen, Jiawei, Hu, Boce, Zhu, Chenfei, Agrawal, Sunil K.

“…Seated postural limit defines the boundary of a region such that for any excursions made outside this boundary a subject cannot return the trunk to the neutral…”
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Training Postural Balance Control with Pelvic Force Field at the Boundary of Stability by Omofuma, Isirame, Santamaria, Victor, Ai, Xupeng, Agrawal, Sunil

“…This study characterizes the effects of a postural training program on balance and muscle control strategies in a virtual reality (VR) environment. The Robotic…”
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Study protocol for a randomised controlled trial to determine the efficacy of an intensive seated postural intervention delivered with robotic and rigid trunk support systems by Santamaria, Victor, Ai, Xupeng, Chin, Karen, Dutkowsky, Joseph P, Gordon, Andrew M, Agrawal, Sunil K

“…Children with cerebral palsy (CP) classified as gross motor function classification system (GMFCS) levels III-IV demonstrate impaired sitting and reaching…”
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Exploring New Potential Applications for Hand Exoskeletons: Power Grip to Assist Human Standing by Diez, Jorge A, Santamaria, Victor, Khan, Moiz I, Catalán, José M, Garcia-Aracil, Nicolas, Agrawal, Sunil K

“…Hand exoskeleton potential applications reach further than grasping or assistance during manipulation. In this paper, we present a preliminary study of how…”
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