Optimal control of a linear elliptic equation with a supremum norm functional

Optimization Methods and Software ◽

10.1080/10556780108805823 ◽

2001 ◽

Vol 15 (3-4) ◽

pp. 299-329 ◽

Author(s):

Thomas Grund ◽

Arud Rösch

Keyword(s):

Optimal Control ◽

Elliptic Equation ◽

Supremum Norm ◽

Linear Elliptic Equation

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Lyapunov inequality for linear elliptic equation, an optimal control approach

10.1109/chicc.2008.4605828 ◽

2008 ◽

Author(s):

Zhou Zhongcheng

Keyword(s):

Optimal Control ◽

Elliptic Equation ◽

Lyapunov Inequality ◽

Linear Elliptic Equation ◽

Control Approach ◽

Optimal Control Approach

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OPTIMAL CONTROL PROBLEM WITH CONTROLS IN COEFFICIENTS OF QUASILINEAR ELLIPTIC EQUATION

Eurasian Journal of Mathematical and Computer Applications ◽

10.32523/2306-3172-2013-1-2-21-38 ◽

2013 ◽

Vol 1 (1) ◽

pp. 21-38

Author(s):

A.D. Iskenderov ◽

◽

R.K. Tagiyev ◽

Keyword(s):

Optimal Control ◽

Elliptic Equation ◽

Optimal Control Problem ◽

Control Problem ◽

Quasilinear Elliptic Equation ◽

Quasilinear Elliptic

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The finite element solution of a quasi-linear elliptic equation governing non-Newtonian flows through rectangular ducts

Applied Mathematical Modelling ◽

10.1016/0307-904x(85)90062-9 ◽

1985 ◽

Vol 9 (4) ◽

pp. 253-262 ◽

Author(s):

A.A. Al-Kharafi ◽

D.J. Evans

Keyword(s):

Finite Element ◽

Elliptic Equation ◽

Finite Element Solution ◽

Element Solution ◽

Linear Elliptic Equation ◽

Newtonian Flows

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Optimal Control of an Elliptic Equation with a Nonsmooth Nonlinearity

Differential Equations ◽

10.1023/b:dieq.0000017922.16111.2f ◽

2003 ◽

Vol 39 (10) ◽

pp. 1497-1502 ◽

Author(s):

S. Ya. Serovaiskii

Keyword(s):

Optimal Control ◽

Elliptic Equation

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Positive and negative solutions of a quasi–linear elliptic equation by a Mountain Pass method and truncature techniques

Nonlinear Analysis ◽

10.1016/s0362-546x(04)00256-1 ◽

2004 ◽

Vol 59 (1-2) ◽

pp. 199-210 ◽

Author(s):

M GIRARDI ◽

M MATZEU

Keyword(s):

Elliptic Equation ◽

Mountain Pass ◽

Linear Elliptic Equation

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Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order

SIAM Journal on Mathematical Analysis ◽

10.1137/0519014 ◽

1988 ◽

Vol 19 (1) ◽

pp. 172-203 ◽

Author(s):

I. Babuška ◽

B. Q. Guo

Keyword(s):

Elliptic Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Elliptic Problems ◽

Second Order ◽

Linear Elliptic Equation

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The maximum principle in optimal control problems for an elliptic equation (in Russian)

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/200 ◽

1986 ◽

Vol 5 (4) ◽

pp. 289-306 ◽

Author(s):

Uldis Raitums

Keyword(s):

Optimal Control ◽

Maximum Principle ◽

Elliptic Equation ◽

Optimal Control Problems ◽

Control Problems ◽

The Maximum Principle

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On positive solutions for a fourth order asymptotically linear elliptic equation under Navier boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.05.071 ◽

2011 ◽

Vol 384 (2) ◽

pp. 387-399 ◽

Author(s):

J.V.A. Goncalves ◽

Edcarlos D. Silva ◽

Maxwell L. Silva

Keyword(s):

Elliptic Equation ◽

Boundary Conditions ◽

Positive Solutions ◽

Fourth Order ◽

Asymptotically Linear ◽

Linear Elliptic Equation ◽

Navier Boundary Conditions

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Corrigendum on ‘Modified quasi-boundary value method for a Cauchy problem of semi-linear elliptic equation’ (Int. J. Comput. Math., 89(12):1689–1703, 2012. 10.1080/00207160.2012.693174)

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.849807 ◽

2013 ◽

Vol 90 (11) ◽

pp. 2508-2510

Author(s):

H.W. Zhang

Keyword(s):

Cauchy Problem ◽

Elliptic Equation ◽

Boundary Value ◽

Linear Elliptic Equation ◽

Boundary Value Method

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Modified boundary Tikhonov-type regularization method for the Cauchy problem of a semi-linear elliptic equation

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2016.1172222 ◽

2016 ◽

Vol 24 (7) ◽

pp. 1249-1265 ◽

Author(s):

Hongwu Zhang ◽

Renhu Wang

Keyword(s):

Cauchy Problem ◽

Elliptic Equation ◽

Regularization Method ◽

Linear Elliptic Equation ◽

The Cauchy Problem

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