Almost automorphic solutions for nonautonomous parabolic evolution equations
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DOI: 10.1007/s00233-019-10045-w
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… read more here.
Keywords: automorphic solutions; parabolic evolution; evolution equations; nonautonomous parabolic ... See more keywords
Non-autonomous parabolic evolution equations with non-instantaneous impulses governed by noncompact evolution families
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-019-0719-6
Abstract: In this paper, we study the initial value problem to a class of non-autonomous parabolic evolution equations with non-instantaneous impulses in Banach spaces, where the operators in linear part (possibly unbounded) depend on time t… read more here.
Keywords: non instantaneous; instantaneous impulses; non autonomous; evolution ... See more keywords