Boundary control for a pseudo-parabolic equation with a given flow on the boundary

Uzbek Mathematical Journal ◽

10.29229/uzmj.2019-3-5 ◽

2019 ◽

Vol 2019 (3) ◽

pp. 40-48

Author(s):

Z.K. Fayazova

Keyword(s):

Parabolic Equation ◽

Boundary Control

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Optimal nonlocal boundary control of the wide-angle parabolic equation for inversion of a waveguide acoustic field

The Journal of the Acoustical Society of America ◽

10.1121/1.1880872 ◽

2005 ◽

Vol 117 (5) ◽

pp. 2937-2948 ◽

Author(s):

Matthias Meyer ◽

Jean-Pierre Hermand

Keyword(s):

Parabolic Equation ◽

Boundary Control ◽

Acoustic Field ◽

Nonlocal Boundary ◽

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Boundary control of a stochastic parabolic equation with nonsmooth pinal cost

Analysis and Optimization of Systes - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0120091 ◽

2008 ◽

pp. 694-703

Author(s):

Franco Flandoli

Keyword(s):

Parabolic Equation ◽

Boundary Control ◽

Stochastic Parabolic Equation

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Dual regularization and Pontryagin’s maximum principle in a problem of optimal boundary control for a parabolic equation with nondifferentiable functionals

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543811090124 ◽

2011 ◽

Vol 275 (S1) ◽

pp. 161-177 ◽

Author(s):

M. I. Sumin

Keyword(s):

Parabolic Equation ◽

Maximum Principle ◽

Boundary Control ◽

Pontryagin’S Maximum Principle ◽

Pontryagin's Maximum Principle ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

Dual Regularization ◽

Nondifferentiable Functionals

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A Boundary Control Problem for a Nonlinear Parabolic Equation

Differential Equations ◽

10.1023/b:dieq.0000019355.30893.a4 ◽

2003 ◽

Vol 39 (11) ◽

pp. 1626-1632 ◽

Author(s):

V. I. Maksimov

Keyword(s):

Parabolic Equation ◽

Control Problem ◽

Boundary Control ◽

Nonlinear Parabolic Equation ◽

Boundary Control Problem ◽

Nonlinear Parabolic

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Solution of a boundary control problem for a nonlinear parabolic equation

Journal of Soviet Mathematics ◽

10.1007/bf01097607 ◽

1992 ◽

Vol 60 (4) ◽

pp. 1562-1567

Author(s):

S. L. Kivva

Keyword(s):

Parabolic Equation ◽

Control Problem ◽

Boundary Control ◽

Nonlinear Parabolic Equation ◽

Boundary Control Problem ◽

Nonlinear Parabolic

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Stabilizability of a quasi-linear parabolic equation by means of a boundary control with feedback

Sbornik Mathematics ◽

10.1070/sm2001v192n04abeh000560 ◽

2001 ◽

Vol 192 (4) ◽

pp. 593-639 ◽

Author(s):

A V Fursikov

Keyword(s):

Parabolic Equation ◽

Boundary Control ◽

Linear Parabolic Equation

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Regularization of the Pontryagin maximum principle in the problem of optimal boundary control for a parabolic equation with state constraints in Lebesgue spaces

Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki ◽

10.20537/vm170202 ◽

2017 ◽

Vol 27 (2) ◽

pp. 162-177 ◽

Author(s):

A.A. Gorshkov ◽

◽

M.I. Sumin ◽

Keyword(s):

Parabolic Equation ◽

Maximum Principle ◽

Boundary Control ◽

Pontryagin Maximum Principle ◽

State Constraints ◽

Lebesgue Spaces ◽

Optimal Boundary ◽

Optimal Boundary Control ◽

The Pontryagin Maximum Principle

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Dirichlet boundary control for a parabolic equation with a final observation I: A space–time mixed formulation and penalization

Asymptotic Analysis ◽

10.3233/asy-2010-1015 ◽

2011 ◽

Vol 71 (1-2) ◽

pp. 101-121 ◽

Author(s):

Faker Ben Belgacem ◽

Christine Bernardi ◽

Henda El Fekih

Keyword(s):

Parabolic Equation ◽

Boundary Control ◽

Dirichlet Boundary ◽

Mixed Formulation ◽

Dirichlet Boundary Control ◽

Final Observation

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Flatness-based boundary control of a nonlinear parabolic equation modelling a tubular reactor

Nonlinear control in the year 2000 volume 2 - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0110290 ◽

2007 ◽

pp. 45-54 ◽

Author(s):

Alan F. Lynch ◽

Joachim Rudolph

Keyword(s):

Parabolic Equation ◽

Boundary Control ◽

Nonlinear Parabolic Equation ◽

Tubular Reactor ◽

Equation Modelling ◽

Nonlinear Parabolic

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Numerical solution of the three-dimensional parabolic equation with non-standard boundary conditions

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00083-8 ◽

2002 ◽

Author(s):

M Dehghan

Keyword(s):

Parabolic Equation ◽

Boundary Conditions ◽

Numerical Solution ◽

Three Dimensional

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