On the Reachable Set for the One-Dimensional Heat Equation

Jérémi Dardé; Sylvain Ervedoza

doi:10.1137/16m1093215

On the Reachable Set for the One-Dimensional Heat Equation

SIAM Journal on Control and Optimization ◽

10.1137/16m1093215 ◽

2018 ◽

Vol 56 (3) ◽

pp. 1692-1715 ◽

Cited By ~ 6

Author(s):

Jérémi Dardé ◽

Sylvain Ervedoza

Keyword(s):

Heat Equation ◽

Reachable Set ◽

One Dimensional ◽

The One

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THE ONE-DIMENSIONAL HEAT EQUATION: (Encyclopedia of Mathematics and Its Applications, 23)

Bulletin of the London Mathematical Society ◽

10.1112/blms/17.6.622 ◽

1985 ◽

Vol 17 (6) ◽

pp. 622-623

Author(s):

A. Jeffrey

Keyword(s):

Heat Equation ◽

One Dimensional ◽

The One

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An alternative explicit expression of the kernel of the one dimensional heat equation with Dirichlet conditions

Applied Mathematics Letters ◽

10.1016/j.aml.2018.10.003 ◽

2019 ◽

Vol 89 ◽

pp. 97-102

Author(s):

Alberto Cabada

Keyword(s):

Heat Equation ◽

Explicit Expression ◽

Dirichlet Conditions ◽

One Dimensional ◽

The One

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Green’s function for the one-dimensional hyperbolic heat equation: remarks for global regularity

Boletín de la Sociedad Matemática Mexicana ◽

10.1007/s40590-019-00256-0 ◽

2019 ◽

Vol 26 (2) ◽

pp. 657-671

Author(s):

J. A. López Molina

Keyword(s):

Heat Equation ◽

Green’S Function ◽

Green's Function ◽

Global Regularity ◽

One Dimensional ◽

The One ◽

Hyperbolic Heat Equation

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The One-Dimensional Heat Equation (Cont’d.)

Ordinary and Partial Differential Equations ◽

10.1007/978-0-387-79146-3_31 ◽

2008 ◽

pp. 241-248

Author(s):

Ravi P. Agarwal ◽

Donal O’Regan

Keyword(s):

Heat Equation ◽

One Dimensional ◽

The One

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The One-Dimensional Stationary Heat Equation

Basic Concepts in Computational Physics ◽

10.1007/978-3-319-27265-8_9 ◽

2016 ◽

pp. 131-138

Author(s):

Benjamin A. Stickler ◽

Ewald Schachinger

Keyword(s):

Heat Equation ◽

One Dimensional ◽

Stationary Heat ◽

The One

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New analytic solutions of the one-dimensional heat equation for temperature and heat flow rate both prescribed at the same fixed boundary (with applications to the phase change problem)

Quarterly of Applied Mathematics ◽

10.1090/qam/211094 ◽

1967 ◽

Vol 24 (4) ◽

pp. 315-322 ◽

Cited By ~ 34

Author(s):

David Langford

Keyword(s):

Heat Flow ◽

Heat Equation ◽

Phase Change ◽

Flow Rate ◽

Analytic Solutions ◽

Heat Flow Rate ◽

Fixed Boundary ◽

One Dimensional ◽

The One ◽

Change Problem

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Determination of Compactly Supported Sources for the One-Dimensional Heat Equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542520090146 ◽

2020 ◽

Vol 60 (9) ◽

pp. 1555-1569

Author(s):

V. V. Solov’ev

Keyword(s):

Heat Equation ◽

One Dimensional ◽

Compactly Supported ◽

The One

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A problem of measurement of temperature solved using the one-dimensional heat equation

International Journal of Heat and Mass Transfer ◽

10.1016/s0017-9310(05)80288-1 ◽

1993 ◽

Vol 36 (4) ◽

pp. 1043-1048 ◽

Cited By ~ 4

Author(s):

S. Anita ◽

N. Damean

Keyword(s):

Heat Equation ◽

One Dimensional ◽

The One

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Maximum norm contractivity in the numerical solution of the one-dimensional heat equation

Applied Numerical Mathematics ◽

10.1016/s0168-9274(99)00007-0 ◽

1999 ◽

Vol 31 (4) ◽

pp. 451-462 ◽

Cited By ~ 14

Author(s):

Róbert Horváth

Keyword(s):

Heat Equation ◽

Numerical Solution ◽

Maximum Norm ◽

One Dimensional ◽

The One

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Controllability properties for the one-dimensional Heat equation under multiplicative or nonnegative additive controls with local mobile support

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2012004 ◽

2012 ◽

Vol 18 (4) ◽

pp. 1207-1224 ◽

Cited By ~ 5

Author(s):

Luis Alberto Fernández ◽

Alexander Yuri Khapalov

Keyword(s):

Heat Equation ◽

One Dimensional ◽

The One

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