Uniqueness theorems for generalized solutions to four mixed problems for the wave equation with nonlocal boundary conditions
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Publication:954192
DOI10.1134/S1064562408030113zbMath1187.35175OpenAlexW1997279606MaRDI QIDQ954192
Publication date: 10 November 2008
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562408030113
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Cites Work
- Optimization of a boundary control of an elastic force at one end of a string based on minimization of the integral of the modulus of the elastic force raised to an arbitrary power \(p \geq 1\)
- Optimization of a boundary control by a displacement at one end of a string based on minimization of the integral of the modulus of the derivative of the displacement raised to an arbitrary power \(p \geq 1\)
- Optimization of a boundary control by a displacement at one end of a string with second end free during an arbitrary sufficiently large time interval
- Optimization of a control by an elastic boundary force during an arbitrary sufficiently large time interval \(T\) at one end of a string with second end free
- Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions
- Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation
- Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation
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