Global Existence of Small Data Solutions to Semi-linear Fractional $$\sigma $$-Evolution Equations with Mass and Nonlinear Memory
Sign Up to like & getrecommendations! 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
Machine Learning for Semi Linear PDEs
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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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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
Almost global existence for the semi-linear Klein–Gordon equation on the circle
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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
Gradient estimates for semi-linear elliptic equations with prescribed contact angle problem
Sign Up to like & getrecommendations! 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
Boundary dynamic feedback control for a class of semi‐linear distributed parameter systems
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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
Small obstacle asymptotics for a 2D semi-linear convex problem
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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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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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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