Article Contents
Article Contents

# E-Besov spaces and dissipative equations

• The notion of (homogeneous) exponential Besov spaces is introduced and the infinite smoothness of such spaces is shown. Moreover, we consider some applications of exponential Besov spaces to a class of evolution equations involving dissipative terms, such as Cauchy-Riemann equations, semi-linear parabolic equations and semi-linear viscoelastic equations. The existence, uniqueness and regularity of solutions for the Cauchy problem of these equations will be established with rough initial data.
Mathematics Subject Classification: Primary 46E35, 35K55, 35Q53, 35L75, 47D06.

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