Lack of controllability of the viscous Burgers equation: part I—the $$\mathrm{L}^\infty $$ setting-Reference-Cited by-同舟云学术

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Lack of controllability of the viscous Burgers equation: part I—the $$\mathrm{L}^\infty $$ setting

Published:2022-08-11 Issue:3 Volume:22 Page:
ISSN:1424-3199
Container-title:Journal of Evolution Equations
language:en
Short-container-title:J. Evol. Equ.

Author:

Andreianov Boris,Ghoshal Shyam Sundar,Koumatos Konstantinos

Funder

Agence Nationale de la Recherche

Indo-French Centre for Applied Mathematics

Inspire Faculty Research Program

RUDN University

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00028-022-00831-5.pdf

Reference33 articles.

1. Adimurthi, S. S. Ghoshal and G. D. Veerappa Gowda, Exact controllability of scalar conservation law with strict convex flux, Math. Control Relat. Fields. 04, no. 04, (2014), 401–449.

2. Adimurthi, S. S. Ghoshal and G. D. Veerappa Gowda, Structure of the entropy solution of a scalar conservation law with strict convex flux, J. Hyperbolic Differ. Equ., 09, no. 04 (2012), 571–611.

3. K. Ammar and P. Wittbold, Existence of renormalized solutions of degenerate elliptic-parabolic problems, Proc. Roy. Soc. Edinburgh Sect. A 133 (2003), no. 3, 477–496.

4. F. Ancona and A. Marson, On the attainability set for scalar non linear conservation laws with boundary control, SIAM J. Control Optim., 36, no. 1, (1998), 290–312.

5. F. Ancona and A. Marson, Scalar non-linear conservation laws with integrable boundary data, Nonlinear Anal. 35, no. 6, (1999), 687–710.

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