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Deterministic and stochastic Cauchy problems for a class of weakly hyperbolic operators on \(\mathbb{R}^n\) - MaRDI portal

Deterministic and stochastic Cauchy problems for a class of weakly hyperbolic operators on \(\mathbb{R}^n\) (Q2173226)

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Deterministic and stochastic Cauchy problems for a class of weakly hyperbolic operators on \(\mathbb{R}^n\)
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    Deterministic and stochastic Cauchy problems for a class of weakly hyperbolic operators on \(\mathbb{R}^n\) (English)
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    22 April 2020
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    The paper under review considers Cauchy problems for a class of weakly hyperbolic operators on \(\mathbb R^n\). Short time solutions and their wave front sets are described in terms of SG Fourier integral operators. A stochastic version is also studied.
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    Fourier integral operator
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    hyperbolic Cauchy problem
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    involutive characteristics
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    global wave-front set
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    propagation of singularities
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    stochastic PDEs
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