1. I n t r o d u c t i o n ~ ]e concep t o f fuzzy s e t s d e f i n e d by Zadeh 1 ) g i v e s an i m p o r t a n t m a t h e m a t i c a l c l u e f o r an approach to s t u d i e s o f sys tems w i th no sha rp b o u n d a r i e s . L a t e l y , t h e fuzzy i n t e g r a l 2 ) b a s e d on t h e fuzzy s e t t h e o r y has been proposed and a p p l i e d t o t he measurement o f fuzzy o b j...

In this paper we study the transport equation in $\mathbb{R}^{n} \times (0,T)$, $T >0$, $n\ge 2$, $$ \partial \_t f + v\cdot \nabla = g, \quad f(\cdot,0)= f\_0 \text{in }\mathbb{R}^{n}, generalized Campanato spaces $\mathscr{L}^{s}{{q(p, N)}}(\mathbb{R}^{n})$. The critical case is particularly interesting, and applied to local well-posedness problem for incompressible Euler equations a space cl...

d e v e l o p m e n t p r o c e s s . A n u n d e r l y i n g a s p e c t i s t h e e f f e c t i v e n e s s o f f i x e s : i f a f a i r n u m b e r o f f i x e d b u g s a r e r e o p e n e d , i t c o u l d i n d i c a t e i n s t a b i l i t y i n t h e s o f t w a r e s y s t e m . T o t h e b e s t o f o u r k n o w l e d g e t h e r e h a s b e e n o n l i t t l e p r i o r w o r k o n...