Abstract
In this article, we study the analyticity properties of solutions of the nonlocal Kuramoto‐Sivashinsky equations, urn:x-wiley:mma:media:mma4844:mma4844-math-0001 defined on 2π‐periodic intervals, where ν is a positive constant; μ is a nonnegative constant; p is an arbitrary but fixed real number in the interval [3,4); and is an operator defined by its symbol in Fourier space, with be the Hilbert transform. We establish spatial analyticity in a strip around the real axis for the solutions of such equations, which possess universal attractors. Also, a lower bound for the width of the strip of analyticity is obtained.
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