A generalization of the maximum principle to nonlinear parabolic systems

A proof of a Parabolic Maximum Principle

Define the following parabolic operator in divergence form Lu ≡ ∂u ∂t − ∂ ∂x j a ij (x, t) ∂u ∂x i for (x, t) ∈ Ω T = Ω × (0, T ], where Ω is a bounded simply connected subset of R m for m ≥ 2 and T > 0 is a fixed but arbitrary positive number. We also assume that the a ij are bounded and measurable in ¯ Ω T and satisfy the uniform parabolicity condition: 1/ν |z| 2 ≤ m i,j=1 a ij (x, t)z i z j ...

The Maximum Principle for Systems of Parabolic Equations Subject to an Avoidance Set

Hamilton’s maximum principle for systems states that given a reaction-diffusion equation (semi-linear heat-type equation) for sections of a vector bundle over a manifold, if the solution is initially in a subset invariant under parallel translation and convex in the fibers and if the ODE associated to the PDE preserves the subset, then the solution remains in the subset for positive time. We ge...

a generalization of strong causality

در این رساله t_n - علیت قوی تعریف می شود. این رده ها در جدول علیت فضا- زمان بین علیت پایدار و علیت قوی قرار دارند. یک قضیه برای رده بندی آنها ثابت می شود و t_n- علیت قوی با رده های علی کارتر مقایسه می شود. همچنین ثابت می شود که علیت فشرده پایدار از t_n - علیت قوی نتیجه می شود. بعلاوه به بررسی رابطه نظریه دامنه ها با نسبیت عام می پردازیم و ثابت می کنیم که نوع خاصی از فضا- زمان های علی پایدار, ب...

from linguistics to literature: a linguistic approach to the study of linguistic deviations in the turkish divan of shahriar

chapter i provides an overview of structural linguistics and touches upon the saussurean dichotomies with the final goal of exploring their relevance to the stylistic studies of literature. to provide evidence for the singificance of the study, chapter ii deals with the controversial issue of linguistics and literature, and presents opposing views which, at the same time, have been central to t...

Discrete Maximum Principles for Nonlinear Parabolic PDE Systems