Solving Linear Systems with Boundary Conditions Using Heat Kernel Pagerank

Lecture Notes in Computer Science - Algorithms and Models for the Web Graph ◽

10.1007/978-3-319-03536-9_16 ◽

2013 ◽

pp. 203-219 ◽

Author(s):

Fan Chung ◽

Olivia Simpson

Keyword(s):

Boundary Conditions ◽

Heat Kernel ◽

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Solving Local Linear Systems with Boundary Conditions Using Heat Kernel Pagerank

Internet Mathematics ◽

10.1080/15427951.2015.1009522 ◽

2015 ◽

Vol 11 (4-5) ◽

pp. 449-471 ◽

Author(s):

Fan Chung ◽

Olivia Simpson

Keyword(s):

Boundary Conditions ◽

Heat Kernel ◽

Linear Systems ◽

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The a 3/2 heat kernel coefficient for oblique boundary conditions

Classical and Quantum Gravity ◽

10.1088/0264-9381/16/6/322 ◽

1999 ◽

Vol 16 (6) ◽

pp. 1917-1936 ◽

Author(s):

J S Dowker ◽

Klaus Kirsten

Keyword(s):

Boundary Conditions ◽

Heat Kernel ◽

Oblique Boundary

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The Influence of Boundary Conditions on The Stability of Repetitive Processes Modelled as 2D Linear Systems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)57896-9 ◽

1996 ◽

Vol 29 (1) ◽

pp. 1599-1602

Author(s):

Eric Rogers ◽

David H Owens

Keyword(s):

Boundary Conditions ◽

Linear Systems ◽

Repetitive Processes ◽

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Short—time Asymptotics of the Heat Kernel of the Laplacian for a Multiply-connected Domain inR2with Robin Boundary Conditions

Applicable Analysis ◽

10.1080/00036810108840902 ◽

2001 ◽

Vol 77 (1-2) ◽

pp. 177-194 ◽

Author(s):

E.M.E. Zayed

Keyword(s):

Boundary Conditions ◽

Heat Kernel ◽

Connected Domain ◽

Robin Boundary Conditions ◽

Multiply Connected Domain ◽

Multiply Connected ◽

Short Time Asymptotics ◽

Time Asymptotics ◽

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Heat kernel coefficients for Chern-Simons boundary conditions in QED

Classical and Quantum Gravity ◽

10.1088/0264-9381/16/3/013 ◽

1999 ◽

Vol 16 (3) ◽

pp. 813-822 ◽

Author(s):

E Elizalde ◽

D V Vassilevich

Keyword(s):

Boundary Conditions ◽

Heat Kernel ◽

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Heat Kernel Estimates for Schrödinger Operators on Exterior Domains with Robin Boundary Conditions

Potential Analysis ◽

10.1007/s11118-017-9629-7 ◽

2017 ◽

Vol 48 (2) ◽

pp. 159-180 ◽

Author(s):

Hynek Kovařík ◽

Delio Mugnolo

Keyword(s):

Boundary Conditions ◽

Heat Kernel ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Robin Boundary Conditions ◽

Exterior Domains ◽

Kernel Estimates ◽

Heat Kernel Estimates ◽

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Similarity and Reduction for Time Varying Linear Systems with Well-Posed Boundary Conditions

SIAM Journal on Control and Optimization ◽

10.1137/0324057 ◽

1986 ◽

Vol 24 (5) ◽

pp. 961-978 ◽

Author(s):

I. Gohberg ◽

M. A. Kaashoek

Keyword(s):

Boundary Conditions ◽

Linear Systems ◽

Time Varying ◽

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Geometric heat kernel coefficient for APS-type boundary conditions

Journées Équations aux dérivées partielles ◽

10.5802/jedp.540 ◽

1998 ◽

pp. 1-19

Author(s):

Gorm Salomonsen

Keyword(s):

Boundary Conditions ◽

Heat Kernel ◽

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Stability and controllability of a class of 2-D linear systems with dynamic boundary conditions

IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications ◽

10.1109/81.983866 ◽

2002 ◽

Vol 49 (2) ◽

pp. 181-195 ◽

Author(s):

E. Rogers ◽

K. Galkowski ◽

A. Gramacki ◽

J. Gramacki ◽

D.H. Owens

Keyword(s):

Boundary Conditions ◽

Linear Systems ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary

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Approximate Controllability of Boundary Control Systems with Nonlinear Boundary Conditions

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.538.408 ◽

2014 ◽

Vol 538 ◽

pp. 408-412

Author(s):

Lian Wen Wang

Keyword(s):

Boundary Conditions ◽

Control Systems ◽

Linear Systems ◽

Boundary Control ◽

Approximate Controllability ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Boundary Control Systems ◽

Delayed Control Systems ◽

Controllability Result

The paper deals with the approximate controllability of a class of nonlinear delayed control systems in which the control is acted through the boundary of the region and the boundary conditions are nonlinear. The approximate controllability result is established provided the approximate controllability of the corresponding linear systems.

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