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On the vanishing contact structure for viscosity solutions of contact type Hamilton-Jacobi equations I: Cauchy problem

  • * Corresponding author: Wei Cheng

    * Corresponding author: Wei Cheng
The authors are partly supported by Natural Scientific Foundation of China (Grant No. 11871267, No. 11631006 and No. 11790272)
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  • We study the representation formulae for the fundamental solutions and viscosity solutions of the Hamilton-Jacobi equations of contact type. We also obtain a vanishing contact structure result for relevant Cauchy problems which can be regarded as an extension to the vanishing discount problem.

    Mathematics Subject Classification: Primary: 35F21, 49L25; Secondary: 37J50.


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