We consider Kolmogorov operator $$-\nabla \cdot a \nabla + b $$ with measurable uniformly elliptic matrix and prove Gaussian lower upper bounds on its heat kernel under minimal assumptions the vector field divergence $$\mathrm{div\,}b$$ . More precisely, we prove: (1) bound, provided that $$\mathrm{div\,}b \ge 0$$ , is in class of form-bounded fields (containing e.g. $$L^d$$ weak class, as well...

<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><div class="column"><p><strong><em>La Covid-19 como evento inmune. Múltiples escenarios de irritación más allá las modernizaciones occidentales</em></strong></p><p><strong>Abstract</strong></p><p>This contribution formulates these...

<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span>Today's religious moderation is an interesting topic in the interaction and relations of modern society. The emergence a group or individual actions that are intolerant disrespectful other people groups physical verbal treatment serious problem moderation. This study aims to expla...

<div class="section abstract"><div class="htmlview paragraph">In a previous study it was shown that production vehicle employing Wankel rotary engine, the Mazda RX-8, easily capable of meeting much more modern hydrocarbon emissions than had been certified for. It contended this mainly due to its provision zero port overlap through adoption side intake and exhaust ports. In earlier w...

We study connections between four different types of results that are concerned with vector-valued functions u : Ω → R of class L(Ω) on a domain Ω ⊂ R: Coercivity results in H(Ω) relying on div and curl, the Helmholtz decomposition, the construction of vector potentials, and the global div-curl lemma. Key-words: Friedrichs inquality, coercivity, div-curl lemma, compensated compactness