Existence of solutions for non-linear systems of differential-functional equations of parabolic type in an arbitrary domain
Existence of Solutions for the Keller-Segel Model of Chemotaxis with Measures as Initial Data
A simple proof of the existence of solutions for the two-dimensional Keller-Segel model with measures with all the atoms less than 8π as the initial data is given. This result was obtained by Senba and Suzuki (2002) and Bedrossian and Masmoudi (2014) using different arguments. Moreover, we show a uniform bound for the existence time of solutions as well as an optimal hypercontractivity estimate.
Existence of solutions of the Cauchy problem for semilinear infinite systems of parabolic differential-functional equations.
Existence of solutions to a phase-field model with phase-dependent heat absorption.
Existence of solutions to nonlinear parabolic problems with delay.
Existence result for a class of doubly nonlinear parabolic systems
We prove the existence of a renormalized solution to a class of doubly nonlinear parabolic systems.
Existence result for variational degenerated parabolic problems via pseudo-monotonicity.
Existence results for a class of nonlinear parabolic equations with two lower order terms
We investigate the existence of renormalized solutions for some nonlinear parabolic problems associated to equations of the form ⎧ in Q = Ω×(0,T), ⎨ u(x,t) = 0 on ∂Ω ×(0,T), ⎩ in Ω. with s = (N+2)/(N+p) (p-1), , τ = (N+p)/(p-1), r = (N(p-1) + p)/(N+2), and f ∈ L¹(Q).
Existenz und Regularität von Lösungen semilinearer parabolischer Anfangs-Randwertproblemen.
Expected utility maximization and conditional value-at-risk deviation-based Sharpe ratio in dynamic stochastic portfolio optimization
In this paper we investigate the expected terminal utility maximization approach for a dynamic stochastic portfolio optimization problem. We solve it numerically by solving an evolutionary Hamilton-Jacobi-Bellman equation which is transformed by means of the Riccati transformation. We examine the dependence of the results on the shape of a chosen utility function in regard to the associated risk aversion level. We define the Conditional value-at-risk deviation () based Sharpe ratio for measuring...
Explicit exponential decay bounds in quasilinear parabolic problems.
Exponential attractors for a Cahn-Hilliard model in bounded domains with permeable walls.
Exponential attractors for a nonclassical diffusion equation.
Exponential convergence for a periodically driven semilinear heat equation
Exponential decay of a solution for some parabolic equation involving a time nonlocal term
We consider the large time behavior of a solution of a parabolic type equation involving a nonlocal term depending on the unknown function. This equation is proposed as a mathematical model of carbon dioxide transport in concrete carbonation process, and we proved the existence, uniqueness and large time behavior of a solution of this model. In this paper, we derive the exponential decay estimate of the solution of this model under restricted boundary data and initial data.
Extended dynamical systems.
Extension of a result of Ladyženskaja and Uralceva concerning second-order parabolic equations of arbitrary order
Extinction and decay estimates of solutions for a class of porous medium equations.
Extinction for fast diffusion equations with nonlinear sources.
Extremal equilibria for parabolic non-linear reaction-diffusion equations