# Analyticity of solutions of nonlinear evolution equations

@article{Massey1976AnalyticityOS,
title={Analyticity of solutions of nonlinear evolution equations},
author={Frank J. Massey},
journal={Journal of Differential Equations},
year={1976},
volume={22},
pages={416-427}
}
• F. Massey
• Published 1 November 1976
• Mathematics
• Journal of Differential Equations
13 Citations
Analyticity of nonlinear semigroups
The Cauchy problemdu/dt =Au(t),u(0) =u0∈D(A) has analytic solutions whenA has first and second Gateaux derivatives along the solution curve in a certain weak sense. HereA is a maximal monotone
Periodic solution of nonlinear parabolic equations
The paper deals with global bifurcation from an equilibrium of periodic orbits for abstract nonlinear autonomous evolution equations: If the linearized problem has an odd number of exchanges of
ANALYTIC SOLUTIONS OF PARABOLIC EVOLUTION SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS COUPLED WITH A HYPERBOLIC EQUATION
In this study we prove existence, uniqueness, and analyticity in time of solutions of a certain class of parabolichypeibolic systems of differential equations presented in Lagrange coordinates. This
Space-Time Analyticity of Weak Solutions to Semilinear Parabolic Systems with Variable Coefficients
• Mathematics
• 2020
Analytic smooth solutions of a general, strongly parabolic semilinear Cauchy problem of 2m-th order in R × (0, T ) with analytic coefficients (in space and time variables) and analytic initial data
Time-analyticity of solutions to the Ricci flow
We prove that if $g(t)$ is a smooth, complete solution to the Ricci flow of uniformly bounded curvature on $M\times[0, \Omega]$, then the correspondence $t\mapsto g(t)$ is real-analytic at each
Observations from measurable sets and applications
• Mathematics
• 2014
We find new quantitative estimates on the space-time analyticity of solutions to linear parabolic equations with time-independent coefficients and apply them to obtain observability inequalities for

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Remarks on the equations of evolution in a Banach space
such as was treated in the previous papers [3] and [4]. However, we shall show that we can replace the strong continuous differentiability of A(t)A(s)~ by its Holder continuity by means of a slight
Linear and Quasilinear Equations of Parabolic Type
linear and quasi linear equations of parabolic type by o a ladyzhenskaia 1968 american mathematical society edition in english, note citations are based on reference standards however formatting
A rapidly convergent iteration method and non-linear partial differential equations - I
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