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Abstract We develop a general framework to describe global mild solutions to a Cauchy problem with small initial values concerning a general class of semilinear parabolic equations with a quadratic… Click to show full abstract
Abstract We develop a general framework to describe global mild solutions to a Cauchy problem with small initial values concerning a general class of semilinear parabolic equations with a quadratic nonlinearity. This class includes the Navier–Stokes equations, the subcritical dissipative quasi-geostrophic equation and the parabolic–elliptic Keller–Segel system.
Keywords:
equations quadratic;
multipliers maximal;
quadratic nonlinearity;
parabolic equations;
sobolev multipliers
Journal Title: Journal of Functional Analysis
Year Published: 2018
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Journal Title: Journal of Functional Analysis
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!