We consider the Fujita equation ut = ∆u+ u p on RN with N ≥ 3. We prove the existence of global, unbounded solutions for pS < p < pJL, where pS := (N + 2)/(N − 2) and pJL :=  (N − 2)2 − 4N + 8 √ N − 1 (N − 2)(N − 10) if N > 10,

Proof. In [4] it was shown that ps<pt for any two positive integers 5 and / for which s<t. Hence the lemma is true if 7 and 5 are each integers. Since, for 5 finite, ps<p(s + l) ^uo)^p(oo*+oj) and ps<p(s + l) ^pco*^p(co*+o}), it follows that the lemma is true if one of the elements 7 or 5 is finite, and the other is not. Suppose that pu and pu* are demonstrated to be incomparable order types.2 ...

In this study, nanoscale zero-valent copper (nZVC) as catalyst activated persulfate (PS) was used for the degradation of p-chlorophenol (p-CP) under ultrasonic (US) irradiation in aqueous solution. The effect of different operational parameters such as solution pH (3.5-10.5), PS concentration (1-7.5 mm/L), nZVC dosage (5-35 mg/L) and initial p-CP concentration (10-100 mg/L) were evaluated at di...

Highly monodisperse polystyrene/poly(N-isopropylmethacrylamide) (PS-PNIPMAM) core-shell composite microgels were synthesized and further nanoengineered in either ellipsoidal, faceted or bowl-shaped particles. Beside their anisotropy in shape, the microgel design enables an exquisite control of the particle conformation, size and interactions from swollen and hydrophilic to collapsed and hydroph...

In this paper, we introduce the notion of fuzzy dot PS-subalgebras in PSalgebras and establish its various properties.

Slow positrons implanted into a porous silica film may efficiently form positronium (Ps) atoms that diffuse through a network of interconnected pores. At high Ps densities, the long lifetime of ortho-positronium atoms is reduced due to Ps-Ps spin dependent interactions at a rate that implies an effective free-space scattering cross section, σ(e) = (3.4 ± 0.5) × 10(-14) cm(-2), at least 25 times...