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In this work, we study the existence and uniqueness of almost automorphic solutions for semilinear nonautonomous parabolic evolution equations with inhomogeneous boundary conditions using the exponential dichotomy. We assume that… Click to show full abstract
In this work, we study the existence and uniqueness of almost automorphic solutions for semilinear nonautonomous parabolic evolution equations with inhomogeneous boundary conditions using the exponential dichotomy. We assume that the homogeneous problem satisfies the “Acquistapace–Terreni” conditions and that the forcing terms are Stepanov-like almost automorphic. An example is given for illustration.
Keywords:
automorphic solutions;
parabolic evolution;
evolution equations;
nonautonomous parabolic;
almost automorphic
Journal Title: Semigroup Forum
Year Published: 2019
Link to full text (if available)
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Journal Title: Semigroup Forum
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!