Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation.
Fully nonlinear second order elliptic equations : recent development
Fully nonlinear second order elliptic equations with large zeroth order coefficient
We prove the existence of classical solutions to certain fully non-linear second order elliptic equations with large zeroth order coefficient. The principal tool is an a priori estimate asserting that the -norm of the solution cannot lie in a certain interval of the positive real axis.
Fully-discrete finite element approximations for a fourth-order linear stochastic parabolic equation with additive space-time white noise
We consider an initial and Dirichlet boundary value problem for a fourth-order linear stochastic parabolic equation, in one space dimension, forced by an additive space-time white noise. Discretizing the space-time white noise a modelling error is introduced and a regularized fourth-order linear stochastic parabolic problem is obtained. Fully-discrete approximations to the solution of the regularized problem are constructed by using, for discretization in space, a Galerkin finite element method...
Function classes defined from local approximations by solutions to hypoelliptic equations.
Function classes pertaining to differential inequalities of parabolic type in unbounded regions
Function spaces and spectra of elliptic operators on a class of hyperbolic manifolds
The paper deals with quarkonial decompositions and entropy numbers in weighted function spaces on hyperbolic manifolds. We use these results to develop a spectral theory of related Schrödinger operators in these hyperbolic worlds.
Function spaces of generalised smoothness [Book]
Function spaces related to continuous negative definite functions: ψ-Bessel potential spaces [Book]
Function theory for a Beltrami algebra.
Functional calculi for pseudodifferential operators, III
Functional determinants and geometry .
Functional determinants and geometry (Erratum).
Functional differential equations of the Cauchy-Kowalewsky type.
Functional differential equations with non-local boundary conditions.
Functional differential inequalities with unbounded delay
Classical solutions of functional partial differential inequalities with initial boundary conditions are estimated by maximal solutions of suitable problems for ordinary functional differential equations. Uniqueness of solutions and continuous dependence on given functions are obtained as applications of the comparison result. A theorem on weak functional differential inequalities generated by mixed problems is proved. Our method is based on an axiomatic approach to equations with unbounded delay....
Functional integral solution of the complex diffusion equation with complex quadratic potential in a classical path space.
Functionals depending on curvatures and surfaces with curvature measures
Functionals with linear growth in the calculus of variations. I.
Functionals with linear growth in the calculus of variations. II.