## 13 Citations

Analyticity of nonlinear semigroups

- Mathematics
- 1989

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

- Mathematics
- 2012

Periodic solution of nonlinear parabolic equations

- Mathematics
- 1979

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

- Mathematics
- 1999

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

- Mathematics
- 2012

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…

## References

SHOWING 1-10 OF 10 REFERENCES

Multiple Integrals in the Calculus of Variations

- Mathematics
- 1966

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

- Mathematics
- 1960

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

- Mathematics
- 1968

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

- Mathematics
- 1966

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…