# Strong solutions to a modified Michelson-Sivashinsky equation

12 Jan 2020 Ibdah Hussain

We prove a global well-posedness and regularity result of strong solutions to a slightly modified Michelson-Sivashinsky equation in any spatial dimension. Local in time well-posedness (and regularity) in the space $W^{1,\infty}$ is established and is shown to be global if in addition the initial data is either periodic or vanishes at infinity... (read more)

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