Threshold optimization in observability inequality for the wave equation with homogeneous Robin-type boundary condition

Author:

Potapov M. M.,Dryazhenkov A. A.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference15 articles.

1. A. A. Nikitin, “Optimal Boundary Control of String Vibrations by a Force under Elastic Fixing,” Diff. Uravn. 47(12), 1773–1782 (2011) [Diff. Eqns. 47, 1796–1805 (2011)].

2. M. M. Potapov, “Observability of Irregular Solutions to the Third Boundary Value Problem for the Wave Equation with Variable Coefficients,” Dokl. Akad. Nauk 414(6), 738–742 (2007) [Dokl. Math. 75 (3), 442-446 (2007)].

3. M. M. Potapov, “Finite-Difference Approximation of Dirichlet Observation Problems for Weak Solutions to the Wave Equation Subject to Robin Boundary Conditions,” Zh. Vychisl. Mat. Mat. Fiz. 47(8), 1323–1339 (2007) [Comput. Math. Math. Phys. 47, 1268–1284 (2007)].

4. F. P. Vasil’ev, M. A. Kurzhanskii, M. M. Potapov, and A. V. Razgulin, Approximate Solution of Dual Control and Observation Problems (Maks Press, Moscow, 2010) [in Russian].

5. M. M. Potapov, “A Stable Method for Solving Linear Equations with Nonuniformly Perturbed Operator,” Dokl. Akad. Nauk 365(5), 596–598 (1999) [Dokl. Math. 59 (2), 286–288 (1999)].

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