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Titlebook: Cauchy Problem for Differential Operators with Double Characteristics; Non-Effectively Hype Tatsuo Nishitani Book 2017 Springer Internation

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发表于 2025-3-25 04:19:27 | 显示全部楼层
Per Alstergren DDS, PhD, Med Drrm for a small . > 0. We show that if for every | .′ | = 1 one can find .. which coincides with . in a small conic neighborhood of (0, 0, .′) for which the proposed energy estimates holds then the Cauchy problem for . is locally solvable in .., which is crucial for our approach to the well-posedness of the Cauchy problem.
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Genetische Ressourcen und Genbankenolds for second order differential operators of spectral type 1 on . with 0 positive trace. To prove these assertions using the results in Chap. . we first derive microlocal energy estimates. Then making use of the idea developed in Chap. . we prove the .. well-posedness of the Cauchy problem.
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Microlocal Energy Estimates and Well-Posedness,rm for a small . > 0. We show that if for every | .′ | = 1 one can find .. which coincides with . in a small conic neighborhood of (0, 0, .′) for which the proposed energy estimates holds then the Cauchy problem for . is locally solvable in .., which is crucial for our approach to the well-posedness of the Cauchy problem.
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Cauchy Problem: No Tangent Bicharacteristics,olds for second order differential operators of spectral type 1 on . with 0 positive trace. To prove these assertions using the results in Chap. . we first derive microlocal energy estimates. Then making use of the idea developed in Chap. . we prove the .. well-posedness of the Cauchy problem.
发表于 2025-3-26 04:04:00 | 显示全部楼层
Ill-Posed Cauchy Problem, Revisited,e case of one spatial dimension. In the last section we give an example of second order differential operator of spectral type 1 on ., which shows that the IPH condition is not sufficient in general for the Cauchy problem to be .. well-posed.
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0075-8434 ively hyperbolic type.Takes a uni?ed approach combining geomCombining geometrical and microlocal tools, this monograph gives detailed proofs of many well/ill-posed results related to the Cauchy problem for differential operators with non-effectively hyperbolic double characteristics. Previously scatte
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