Analytic hypoellipticity for sums of squares of vector fields
We discuss the open problem of analytic hypoellipticity for sums of squares of vector fields, including some recent partial results and a conjecture of Treves.
Analytic index formulas for elliptic corner operators
Spaces with corner singularities, locally modelled by cones with base spaces having conical singularities, belong to the hierarchy of (pseudo-) manifolds with piecewise smooth geometry. We consider a typical case of a manifold with corners, the so-called "edged spindle", and a natural algebra of pseudodifferential operators on it with special degeneracy in the symbols, the "corner algebra". There are three levels of principal symbols in the corner algebra, namely the interior,...
Analytic properties of the resolvent for the Helmholtz operator outside a periodic surface
Analytic regularity for the Dirichlet problem in domains with conic singularities
Analytic semigroups generated on a functional extrapolation space by variational elliptic equations
We prove that any elliptic operator of second order in variational form is the infinitesimal generator of an analytic semigroup in the functional space consinsting of all derivatives of hölder-continuous functions in where is a domain in not necessarily bounded. We characterize, moreover the domain of the operator and the interpolation spaces between this and the space . We prove also that the spaces can be considered as extrapolation spaces relative to suitable non-variational operators....
Analytic Singularities and Microhyperbolic Boundary Value Problems.
Analytic solution of an initial-value problem from Stokes flow with free boundary.
Analytic solutions for the classical two-phase Stefan problem
Analytic Solutions of Some Nonlinear Diffusion Equations.
Analytical and numerical methods for the CMKdV-II equation.
Analytical and numerical solutions to initial-boundary value problems of the water wave motion in a reservoir.
Analytical approximation of the transition density in a local volatility model
We present a simplified approach to the analytical approximation of the transition density related to a general local volatility model. The methodology is sufficiently flexible to be extended to time-dependent coefficients, multi-dimensional stochastic volatility models, degenerate parabolic PDEs related to Asian options and also to include jumps.
Analytical results on a model for damaging in domains and interfaces
This paper deals with a model describing damage processes in a (nonlinear) elastic body which is in contact with adhesion with a rigid support. On the basis of phase transitions theory, we detail the derivation of the model written in terms of a PDE system, combined with suitable initial and boundary conditions. Some internal constraints on the variables are introduced in the equations and on the boundary, to get physical consistency. We prove the existence of global in time solutions (to a suitable...
Analytical results on a model for damaging in domains and interfaces*
This paper deals with a model describing damage processes in a (nonlinear) elastic body which is in contact with adhesion with a rigid support. On the basis of phase transitions theory, we detail the derivation of the model written in terms of a PDE system, combined with suitable initial and boundary conditions. Some internal constraints on the variables are introduced in the equations and on the boundary, to get physical consistency. We prove the existence of global in time solutions (to a suitable...
Analytical solution for the time-fractional telegraph equation.
Analytical solution of a general boundary value problem for a BKW-equation.
Analytical solution of the hyperbolic heat conduction equation for moving semi-infinite medium under the effect of time-dependent laser heat source.
Analytical solutions for the neutron transport using the spectral methods.
Analytical treatment of generalized Burgers-Huxley equation by homotopy analysis method.
Analyticité des solutions des équations de Vlassov-Poisson