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
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13 Citations
Background Citations
3
Methods Citations
2

13 Citations

Citation Type

Citation Type

Time analyticity for solutions of nonlinear abstract parabolic evolution equations
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…
Space–time analyticity of weak solutions to linear parabolic systems with variable coefficients
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
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…
Observation from measurable sets for parabolic analytic evolutions and applications
Dynamic theory of quasilinear parabolic equations—I. Abstracts evolution equations
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
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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References

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Semi-classical results.- The spaces Hmp and Hmp0.- Existence theorems.- Differentiability of weak solutions.- Regularity theorems for the solutions of general elliptic systems and boundary value…
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
L’accès aux archives de la revue « Annali della Scuola Normale Superiore di Pisa, Classe di Scienze » (http://www.sns.it/it/edizioni/riviste/annaliscienze/) implique l’accord avec les conditions…
Nonlinear holomorphic semigroups
On the analyticity in time of solutions of initial boundary value problems for semi-linear parabolic differential equations with monotone nonlinearity
Partial differential equations
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Perturbation theory for linear operators
On the abstract evolution equation