A nonlinear parabolic problem with singular terms and nonregular data

We study existence of nonnegative solutions to a nonlinear parabolic boundary value problem with a general singular lower order term and a nonnegative measure as nonhomogeneous datum, of the form \begin{cases} \dys u_t - \Delta_p u = h(u)f+\mu & \text{in}\ \Omega \times (0,T),\\ u=0 &\text{on}\ \partial\Omega \times (0,T),\\ u=u_0 &\text{in}\ \Omega \times \{0\}, \end{cases} where $\Omega$ is an open bounded subset of $\mathbb{R}^N$ ($N\ge2$), $u_0$ is a nonnegative integrable function, $\Delta_p$ is the $p$-Laplace operator, $\mu$ is a nonnegative bounded Radon measure on $\Omega \times (0,T)$ and $f$ is a nonnegative function of $L^1(\Omega \times (0,T))$. The term $h$ is a positive continuous function possibly blowing up at the origin. Furthermore, we show uniqueness of finite energy solutions in presence of a nonincreasing $h$

A compactness result for a Gelfand-Liouville system with Lipschitz condition

We give a quantization analysis to an elliptic system (Gelfand-Liouville type system) with Dirichlet condition. An application, we have a com-pactness result for an elliptic system with Lipschitz condition

Knowledge and regularity in planning

The field of planning has focused on several methods of using domain-specific knowledge. The three most common methods, use of search control, use of macro-operators, and analogy, are part of a continuum of techniques differing in the amount of reused plan information. This paper describes TALUS, a planner that exploits this continuum, and is used for comparing the relative utility of these methods. We present results showing how search control, macro-operators, and analogy are affected by domain regularity and the amount of stored knowledge

Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings I

We study the optimal approximation of the solution of an operator equation Au=f by linear and nonlinear mappings

Discussion of "Objective Priors: An Introduction for Frequentists" by M. Ghosh

Discussion of "Objective Priors: An Introduction for Frequentists" by M. Ghosh [arXiv:1108.2120]Comment: Published in at http://dx.doi.org/10.1214/11-STS338A the Statistical Science (http://www.imstat.org/sts/) by the Institute of Mathematical Statistics (http://www.imstat.org

Robust stabilization of chained systems via hybrid control

Published versio

igh-order extremal principles and P-factor penalty function method for solving irregular optimization problems

There is given a description of the solution set to p-regular equality - constrained optimization problems. Based on the apparatus of factor-operators P-order conditions for optimality are presented. The method for solving irregular optimization problems is proposed