Different approaches to stochastic parabolic differential equations
Differential operators with generalized constant coefficients.
Differential-functional inequalities of parabolic type in unbounded regions
Diffusion with an reflecting and absorbing level set boundary - a simulation study
Dirichlet problem. Characterization of regularity.
Dirichlet problem for parabolic equations on Hilbert spaces
We study a linear second order parabolic equation in an open subset of a separable Hilbert space, with the Dirichlet boundary condition. We prove that a probabilistic formula, analogous to one obtained in the finite-dimensional case, gives a solution to this equation. We also give a uniqueness result.
Discontinuous elliptic problems in without monotonicity assumptions
We prove existence of a positive, radial solution for a semilinear elliptic problem with a discontinuous nonlinearity. We use an approximating argument which requires no monotonicity assumptions on the nonlinearity.
Discontinuous quasilinear elliptic problems at resonance
In this paper we study a quasilinear resonant problem with discontinuous right hand side. To develop an existence theory we pass to a multivalued version of the problem, by filling in the gaps at the discontinuity points. We prove the existence of a nontrivial solution using a variational approach based on the critical point theory of nonsmooth locally Lipschitz functionals.
Discounted optimal stopping for maxima in diffusion models with finite horizon.
Discretization errors at free boundaries of the Grad-Schlüter-Shafranov equation.
Dissipative sets and nonlinear perturbated equations in Banach spaces
Distinguished Selfadjoint Extensions of Dirac Operators.
Distributional derivatives of functions of two variables of finite variation and their application to an impulsive hyperbolic equation
We give characterizations of the distributional derivatives , , of functions of two variables of locally finite variation. Then we use these results to prove the existence theorem for the hyperbolic equation with a nonhomogeneous term containing the distributional derivative determined by an additive function of an interval of finite variation. An application of the above theorem to a hyperbolic equation with an impulse effect is also given.
Domain identification for semilinear elliptic equations in the plane: The zero flux case.
Dual finite element analysis for an inequality of the 2nd order
The dual variational formulation of some free boundary value problem is given and its approximation by finite element method is studied, using piecewise linear elements with non-positive divergence.
Dynamic analysis of stochastic reaction-diffusion Cohen-Grossberg neural networks with delays.
Dynamic contact problems with given friction for viscoelastic bodies
Dynamical instability of symmetric vortices.
Using the Maxwell-Higgs model, we prove that linearly unstable symmetric vortices in the Ginzburg-Landau theory are dynamically unstable in the H1 norm (which is the natural norm for the problem).In this work we study the dynamic instability of the radial solutions of the Ginzburg-Landau equations in R2 (...)
Dynamics of a two sex population with gestation period
We investigate a mathematical model of population dynamics for a population of two sexes (male and female) in which new individuals are conceived in a process of mating between individuals of opposed sexes and their appearance is postponed by a period of gestation. The model is a system of two partial differential equations with delay which are additionally coupled by mathematically complicated boundary conditions. We show that this model has a global solution. We also analyze stationary ('permanent')...