This paper establishes a global Carleman inequality of parabolic equations with mixed boundary conditions and an estimate of the solution.Further,we prove exact controllability of the equation by controls acting on an arbitrarily given subdomain or subboundary.
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Univ Alaska Fairbanks, Dept Math & Stat, Fairbanks, AK 99775 USAUniv Alaska Fairbanks, Dept Math & Stat, Fairbanks, AK 99775 USA
Avdonin, Sergei
Rivero, Abdon Choque
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Univ Michoacana San Nicol de Hidalgo, Inst Phys & Math, Morelia 58040, Michoacan, MexicoUniv Alaska Fairbanks, Dept Math & Stat, Fairbanks, AK 99775 USA
Rivero, Abdon Choque
de Teresa, Luz
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Univ Nacl Autonoma Mexico, Inst Math, Mexico City 04510, DF, MexicoUniv Alaska Fairbanks, Dept Math & Stat, Fairbanks, AK 99775 USA
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Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R ChinaFudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Wang, Yue
Leugering, Guenter
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Friedrich Alexander Univ Erlangen Nuremberg, Dept Math, Cauerstr 11, D-91058 Erlangen, GermanyFudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Leugering, Guenter
Li, Tatsien
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Fudan Univ, Sch Math Sci, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
Fudan Univ, Sch Math Sci, Nonlinear Math Modeling & Methods Lab, Shanghai 200433, Peoples R ChinaFudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China