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   Articles with "semi linear" as a keyword



Boundary stabilization of semi‐linear time fractional reaction–diffusion systems with delays

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recommendations! Published in 2024 at "Asian Journal of Control"

DOI: 10.1002/asjc.3556

Abstract: This paper examines the stabilization results for a class of semi‐linear time fractional reaction–diffusion partial differential equations (PDEs) with state delay using the backstepping method. The main goal is to design the boundary control for… read more here.

Keywords: reaction; semi linear; linear time; time fractional ... See more keywords

Global Existence of Small Data Solutions to Semi-linear Fractional $$\sigma $$-Evolution Equations with Mass and Nonlinear Memory

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recommendations! Published in 2020 at "Mediterranean Journal of Mathematics"

DOI: 10.1007/s00009-020-01573-9

Abstract: In this paper we study the global (in time) existence of small data solutions to semi-linear fractional $$\sigma -$$ evolution equations with mass and nonlinear memory. Our main goals was to explain on the one… read more here.

Keywords: semi linear; existence small; small data; solutions semi ... See more keywords
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Machine Learning for Semi Linear PDEs

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recommendations! Published in 2019 at "Journal of Scientific Computing"

DOI: 10.1007/s10915-019-00908-3

Abstract: Recent machine learning algorithms dedicated to solving semi-linear PDEs are improved by using different neural network architectures and different parameterizations. These algorithms are compared to a new one that solves a fixed point problem by… read more here.

Keywords: semi linear; linear pdes; machine learning; learning semi ... See more keywords

Output Feedback Stabilization for MIMO Semi-linear Stochastic Systems with Transient Optimisation

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recommendations! Published in 2020 at "International Journal of Automation and Computing"

DOI: 10.1007/s11633-019-1193-8

Abstract: This paper investigates the stabilisation problem and consider transient optimisation for a class of the multi-input-multi-output (MIMO) semi-linear stochastic systems. A control algorithm is presented via an m -block backstepping controller design where the closed-loop… read more here.

Keywords: mimo semi; semi linear; output; linear stochastic ... See more keywords
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Almost global existence for the semi-linear Klein–Gordon equation on the circle

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recommendations! Published in 2017 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2016.12.013

Abstract: Abstract We show that the solution to the semi-linear Klein–Gordon equation on the circle with a nonlinearity satisfying a convenient condition, exists almost globally, for almost every positive mass, provided that it is either even… read more here.

Keywords: gordon equation; linear klein; semi linear; klein gordon ... See more keywords
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Gradient estimates for semi-linear elliptic equations with prescribed contact angle problem

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recommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.05.066

Abstract: Abstract In this paper, we find a new auxiliary function and use the maximum principle to give a new proof for the gradient of a solution for semi-linear elliptic equations with capillarity-type problem. read more here.

Keywords: gradient estimates; linear elliptic; semi linear; elliptic equations ... See more keywords
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Boundary dynamic feedback control for a class of semi‐linear distributed parameter systems

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recommendations! Published in 2020 at "Iet Control Theory and Applications"

DOI: 10.1049/iet-cta.2018.6159

Abstract: The dynamic output feedback control for a class of semi-linear distributed parameter systems with a non-constant (spatially-varying) diffusion rate described by partial differential equations is studied. The considered system is endowed with boundary actuation available… read more here.

Keywords: control class; control; feedback control; semi linear ... See more keywords
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Small obstacle asymptotics for a 2D semi-linear convex problem

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recommendations! Published in 2018 at "Applicable Analysis"

DOI: 10.1080/00036811.2017.1295449

Abstract: We study a 2D semi-linear equation in a domain with a small Dirichlet obstacle of size . Using the method of matched asymptotic expansions, we compute an asymptotic expansion of the solution as tends to… read more here.

Keywords: asymptotics semi; small obstacle; semi linear; obstacle ... See more keywords

Convergence and stability of exponential integrators for semi-linear stochastic variable delay integro-differential equations

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recommendations! Published in 2021 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2020.1792452

Abstract: ABSTRACT In this paper, the numerical method for semi-linear stochastic variable delay integro-differential equations is studied. The stability of analytic solutions of semi-linear stochastic variable delay integro-differential equations are studied first, some suitable conditions for… read more here.

Keywords: variable delay; semi linear; delay integro; linear stochastic ... See more keywords

Asymptotic approximation for the solution to a semi-linear elliptic problem in a thin aneurysm-type domain

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recommendations! Published in 2017 at "Open Mathematics"

DOI: 10.1515/math-2017-0114

Abstract: Abstract A semi-linear boundary-value problem with nonlinear Robin boundary conditions is considered in a thin 3D aneurysm-type domain that consists of thin curvilinear cylinders that are joined through an aneurysm of diameter ????(ε). Using the… read more here.

Keywords: aneurysm type; thin aneurysm; semi linear; asymptotic approximation ... See more keywords

The Asymptotic Behavior and Blow-Up Rate of a Solution with a Lower Bound on the Highest Existence Duration for Semi-Linear Pseudo-Parabolic Equations

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recommendations! Published in 2024 at "Mathematics"

DOI: 10.3390/math12193055

Abstract: This note addresses the initial-boundary value problem for a class of semi-linear pseudo-parabolic equations defined on a smooth bounded domain, with an emphasis on determining the asymptotic behavior and blow-up rate of the solution. Our… read more here.

Keywords: semi linear; pseudo parabolic; linear pseudo; behavior blow ... See more keywords