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Pierre Magal, S. Ruan (2007)
On integrated semigroups and age structured models in {$L^p$} spacesDifferential and Integral Equations
H. Tanabe (1979)
Equations of evolution
S. Agmon (1965)
Lectures on Elliptic Boundary Value Problems
R. Delaubenfels (1994)
Existence Families, Functional Calculi and Evolution Equations
A. Pazy (1992)
Semigroups of Linear Operators and Applications to Partial Differential Equations, 44
M. Agranovich, I. Egorov, M. Shubin (1997)
Elliptic boundary value problems
F. Periago, B. Straub (2002)
A functional calculus for almost sectorial operators and applications to abstract evolution equationsJournal of Evolution Equations, 2
R. Temam (1993)
Infinite Dimensional Dynamical Systems in Mechanics and Physics Springer Verlag
Pierre Magal, S. Ruan (2009)
On semilinear Cauchy problems with non-dense domainAdvances in Differential Equations
(2008)
Modèles épidémiologiques de type paraboliques : Application à l’étude de la propagation de Salmonelles en élevage industriel
H. Thieme (1990)
Semiflows generated by Lipschitz perturbations of non-densely defined operatorsDifferential and Integral Equations
J. Cholewa, Tomasz Dłotko (2000)
Global Attractors in Abstract Parabolic Problems
F. Neubrander (1988)
INTEGRATED SEMIGROUPS AND THEIR APPLICATIONS TO THE ABSTRACT CAUCHY PROBLEMPacific Journal of Mathematics, 135
F. Neubrander (1988)
Integrated semigroups and their application to the abstract Cauchy problem, PacJ. Math., 135
Hermann, Kellerman, Matthias Hieber, Mathematisches (2003)
Integrated Semigroups
K. Engel, R. Nagel (1999)
One-parameter semigroups for linear evolution equationsSemigroup Forum, 63
R. Temam (1988)
Infinite Dimensional Dynamical Systems in Mechanics and Physics
A. Carvalho, Tomasz Dłotko, M. Nascimento (2008)
Non-autonomous semilinear evolution equations with almost sectorial operatorsJournal of Evolution Equations, 8
M. Haase (2006)
The Functional Calculus for Sectorial Operators
Pierre Magal, S. Ruan (2009)
Center Manifolds for Semilinear Equations With Non-dense Domain and Applications to Hopf Bifurcation in Age Structured Models
Daniel Henry (1989)
Geometric Theory of Semilinear Parabolic Equations
G. Prato (1966)
Semigruppi di crescenza $n$Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze, 20
Horst Thiemea (1990)
“Integrated semigroups” and integrated solutions to abstract Cauchy problemsJournal of Mathematical Analysis and Applications, 152
W. Arendt (1987)
Resolvent Positive OperatorsProceedings of The London Mathematical Society
R. DeLaubenfels (1991)
Existence Families, Functional Calculi, and Evolution Equations, Lecture Notes in Math
A. Pazy (1983)
Semigroups of operator and application to partial differential equation
H. Thieme (2008)
Differentiability of convolutions, integrated semigroups of bounded semi-variation, and the inhomogeneous Cauchy problemJournal of Evolution Equations, 8
A. Volper, V. Volpert (2007)
Elliptic problems with a parameter in unbounded domainsAdvances in Differential Equations
Julia, Montel. (2011)
Vector-valued Laplace Transforms and Cauchy Problems
Ti‐Jun Xiao, Jin Liang (1999)
The Cauchy Problem for Higher Order Abstract Differential Equations
M. Agranovich (1997)
Elliptic Boundary Problems
A. Lunardi (2003)
Analytic Semigroups and Optimal Regularity in Parabolic Problems
The paper deals with linear abstract Cauchy problem with non-densely defined and almost sectorial operators, whenever the part of this operator in the closure of its domain is sectorial. This kind of problem naturally arises for parabolic equations with non-homogeneous boundary conditions. Using the integrated semigroup theory, we prove an existence and uniqueness result for integrated solutions. Moreover, we study the linear perturbation problem.
Journal of Evolution Equations – Springer Journals
Published: May 1, 2010
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