Results 11 to 20 of about 2,690,910 (310)
Final-value problem for a weakly-coupled system of structurally damped waves
Electronic Journal of Differential Equations, 2018 We consider the final-value problem of a system of strongly-damped wave equations. First of all, we find a solution of the system, then by an example we show the problem is ill-posed.
Nguyen Huy Tuan +3 more
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Modified quasi-reversibility method for final value problems in Banach spaces
Journal of Mathematical Analysis and Applications, 2008 This paper presents a new version of the quasi-reversibility method for regularizing linear ill-posed problems. Its focus is on the stable approximate solution of final value problems \[ u^\prime(t)+Au(t)=0\quad (0 \leq t 0\) are discussed when \[ v_\alpha(t)^\prime+A_\alpha v_\alpha(t)=0 \quad (0 \leq t
Yongzhong Huang
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Final value problem for fractional reaction-subdiffusion equations
HPU2 Journal of Science: Natural Sciences and TechnologyWe investigate the existence of a mild solution to the final value problem for a class of fractional reaction-subdiffusion nonlinear equations, where the nonlinearity may take weak values. We want to demonstrate the unique existence of a mild solution by using the Banach fixed-point theorem.
Thanh-Tuan Pham, Thi-Ngan Nguyen
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Nonlocal final value problem governed by semilinear anomalous diffusion equations
Evolution Equations and Control Theory, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tran, Dinh-Ke, Lam, Tran-Phuong-Thuy
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On a final value problem for parabolic equation on the sphere with linear and nonlinear source
Advances in the Theory of Nonlinear Analysis and its Application, 2020 Parabolic equation on the unit sphere arise naturally in geophysics and oceanography when we model a physical quantity on large scales. In this paper, we consider a problem of finding the initial state for backward parabolic problem on the sphere. This backward parabolic problem is ill-posed in the sense of Hadamard.
Nguyen Duc Phuong +2 more
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Characterization of the value function of final state constrainedcontrol problems with BV trajectories [PDF]
Communications on Pure and Applied Analysis, 2011 This paper aims to investigate a control problem governed by differential equations with Radon measure as data and with final state constraints. By using a known reparametrization method (by Dal Maso and Rampazzo [18]), we obtain that the value function can be characterized by means of an auxiliary control problem of absolutely continuous trajectories,
Briani, Ariela, Zidani, Hasnaa
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Well-posed final value problems and Duhamel's formula for coercive Lax–Milgram operators [PDF]
Electronic Research Archive, 2019 13 pages. Extension of arXiv:1904.05190 to coercive generators and the Neumann heat conduction problem.
J. Johnsen
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Existence and regularity of final value problems for time fractional wave equations
Computers & Mathematics with Applications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Huy Tuan +2 more
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Computers & Mathematics with Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Huy Tuan +3 more
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A uniqueness result for final boundary value problem of microstretch bodies
The Journal of Nonlinear Sciences and Applications, 2017 Summary: Main subject of this study is the final boundary value problem of a microstretch thermoelastic body. In fact, using an elementary transformation, this problem is reformulated as a known mixed problem with initial and boundary conditions. We prove some results of uniqueness of solutions avoiding any conservation law of energy.
Marin, M. +3 more
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