Add to ORKGWe present an abstract framework for semilinear parabolic problems based on analytic semigroup theory. The same framework is used for numerical discretization based on the finite element method. We prove local existence of solutions and local error estimates. These are applied in the context of dynamical systems. The framework is also used to analyze the finite element method for a stochastic parabolic equation
This paper provides a carefull and accessible exposision of the theory of analytic semigroups which ...
We study mild solutions of a class of stochastic partial differential equations, involving operators...
New appendix.International audienceWe provide in this work a semigroup approach to the study of sing...
We present an abstract framework for semilinear parabolicproblems based on analytic semigroup theory...
We present an abstract framework for semilinear parabolic problems based on analytic semigroup theor...
This paper presents and abstract semigroup formulation of parabolic boundary value problems. Smoothn...
Partial differential equations (PDEs) and stochastic partial differential equations (SPDEs) are powe...
We consider the Cauchy problem in ℝd for a class of semilinear parabolic partial different...
The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spa...
We consider semidiscrete solutions in quasi-uniform finite element spaces of order O(hr) of the init...
We consider a general system of n_1 semilinear parabolic partial differential equations and n_2 ordi...
We generalize some results obtained in R. H. De Staelen and M. Slodicka. We prove, based on a given ...
AbstractThe Banach contraction mapping theorem and the theory of analytic semigroups are used to pro...
We provide an algorithmic approach for the analysis of infinite dimensional systems described by Par...
Abstract. We consider the Cauchy problem in Rd for a class of semilinear parabolic partial differ-en...
This paper provides a carefull and accessible exposision of the theory of analytic semigroups which ...
We study mild solutions of a class of stochastic partial differential equations, involving operators...
New appendix.International audienceWe provide in this work a semigroup approach to the study of sing...
We present an abstract framework for semilinear parabolicproblems based on analytic semigroup theory...
We present an abstract framework for semilinear parabolic problems based on analytic semigroup theor...
This paper presents and abstract semigroup formulation of parabolic boundary value problems. Smoothn...
Partial differential equations (PDEs) and stochastic partial differential equations (SPDEs) are powe...
We consider the Cauchy problem in ℝd for a class of semilinear parabolic partial different...
The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spa...
We consider semidiscrete solutions in quasi-uniform finite element spaces of order O(hr) of the init...
We consider a general system of n_1 semilinear parabolic partial differential equations and n_2 ordi...
We generalize some results obtained in R. H. De Staelen and M. Slodicka. We prove, based on a given ...
AbstractThe Banach contraction mapping theorem and the theory of analytic semigroups are used to pro...
We provide an algorithmic approach for the analysis of infinite dimensional systems described by Par...
Abstract. We consider the Cauchy problem in Rd for a class of semilinear parabolic partial differ-en...
This paper provides a carefull and accessible exposision of the theory of analytic semigroups which ...
We study mild solutions of a class of stochastic partial differential equations, involving operators...
New appendix.International audienceWe provide in this work a semigroup approach to the study of sing...