Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints

Eduardo Casas

doi:10.1137/0331044

Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/0331044 ◽

1993 ◽

Vol 31 (4) ◽

pp. 993-1006 ◽

Cited By ~ 135

Author(s):

Eduardo Casas

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

State Constraints ◽

Semilinear Elliptic Equations ◽

Pointwise State Constraints ◽

Semilinear Elliptic

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Optimal Control Problem Governed by Semilinear Elliptic Equations with Integral Control Constraints and Pointwise State Constraints

Control and Estimation of Distributed Parameter Systems ◽

10.1007/978-3-0348-8849-3_7 ◽

1998 ◽

pp. 89-102 ◽

Cited By ~ 2

Author(s):

E. Casas ◽

J.-P. Raymond ◽

H. Zidani

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Elliptic Equations ◽

State Constraints ◽

Semilinear Elliptic Equations ◽

Control Constraints ◽

Integral Control ◽

Pointwise State Constraints ◽

Semilinear Elliptic

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Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations

SIAM Journal on Control and Optimization ◽

10.1137/050626600 ◽

2006 ◽

Vol 45 (5) ◽

pp. 1586-1611 ◽

Cited By ~ 78

Author(s):

Eduardo Casas ◽

Jean‐Pierre Raymond

Keyword(s):

Error Estimates ◽

Boundary Control ◽

Elliptic Equations ◽

Numerical Approximation ◽

Dirichlet Boundary ◽

Semilinear Elliptic Equations ◽

Dirichlet Boundary Control ◽

Semilinear Elliptic

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Superconvergence for Neumann boundary control problems governed by semilinear elliptic equations

Computational Optimization and Applications ◽

10.1007/s10589-014-9718-0 ◽

2014 ◽

Vol 61 (2) ◽

pp. 373-408 ◽

Cited By ~ 5

Author(s):

K. Krumbiegel ◽

J. Pfefferer

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

Neumann Boundary ◽

Semilinear Elliptic Equations ◽

Control Problems ◽

Semilinear Elliptic ◽

Boundary Control Problems

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Second Order Optimality Conditions for Some Control Problems of Semilinear Elliptic Equations with Integral State Constraints

Optimal Control of Partial Differential Equations ◽

10.1007/978-3-0348-8691-8_8 ◽

1999 ◽

pp. 89-97

Author(s):

Eduardo Casas ◽

Fredi Tröltzsch ◽

Andreas Unger

Keyword(s):

Optimality Conditions ◽

Elliptic Equations ◽

State Constraints ◽

Second Order ◽

Semilinear Elliptic Equations ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic

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Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls

Numerical Functional Analysis and Optimization ◽

10.1080/01630569708816758 ◽

1997 ◽

Vol 18 (3-4) ◽

pp. 235-250 ◽

Cited By ~ 40

Author(s):

J.-J. Alibert ◽

J.-P. Raymond

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic ◽

Unbounded Controls

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Optimal boundary control for non-well-posed semilinear elliptic equations in the absence of convexity

2017 36th Chinese Control Conference (CCC) ◽

10.23919/chicc.2017.8027574 ◽

2017 ◽

Author(s):

Shu Luan ◽

Xiuxiang Zhou

Keyword(s):

Boundary Control ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Optimal Boundary ◽

Semilinear Elliptic ◽

Optimal Boundary Control ◽

Well Posed

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Some results for semilinear elliptic equations with critical potential

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s030821050200001x ◽

2002 ◽

Vol 132 (01) ◽

pp. 1

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Critical Potential ◽

Semilinear Elliptic

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Nontrivial solutions of semilinear elliptic equations with continuous or discontinuous nonlinearities

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1992-1098403-3 ◽

1992 ◽

Vol 116 (2) ◽

pp. 513-513

Author(s):

Noriko Mizoguchi

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Nontrivial Solutions ◽

Discontinuous Nonlinearities ◽

Semilinear Elliptic

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Hopf boundary maximum principle violation for semilinear elliptic equations

Nonlinear Analysis ◽

10.1016/j.na.2009.12.015 ◽

2010 ◽

Vol 72 (7-8) ◽

pp. 3346-3355 ◽

Cited By ~ 9

Author(s):

Yavdat Il’yasov ◽

Youri Egorov

Keyword(s):

Maximum Principle ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic

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Solutions of semilinear elliptic equations with asymptotic linear nonlinearity

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00759-3 ◽

2002 ◽

Vol 50 (2) ◽

pp. 275-283 ◽

Cited By ~ 3

Author(s):

Cheng-Hsiung Hsu ◽

Yi-Wen Shih

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic

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