Abstract
This chapter is devoted to the Cauchy problem for quasilinear evolution equations of the forms (5.1) and (5.43) in Banach spaces. The linear operators in the equations are sectorial operators with angles \(<\frac{\pi}{2}\) but are allowed to depend on the unknown functions.
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© 2010 Springer-Verlag Berlin Heidelberg
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Yagi, A. (2010). Quasilinear Evolution Equations. In: Abstract Parabolic Evolution Equations and their Applications. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04631-5_5
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DOI: https://doi.org/10.1007/978-3-642-04631-5_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04630-8
Online ISBN: 978-3-642-04631-5
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