It's a lively, complex drink — a far cry from the weak gin-and-tonics that once defined wedding reception drinking.
Recently, Sun and Yang in [7, 8] proved the existence of global attractor and exponential attractor for the same equation with the weaker external term (gin H^{-1}(Omega)).
Thus, y is a weak solution to BVP (1.1 - 1.2 1.1 - 1.2given (gin L^{p}(Omega)).
Compared with those in [11], the nonlinear term (f u,u_{t})) satisfies the critical exponent growth condition with respect to u (see (2.4)) and the external force (gin H^{-1}(Omega)), which is weaker than the assumptions in [11].
As was indicated before, it is unknown whether the original BVP admits at least one weak solution in the sense of Definition 2.1 for a given distribution (gin L^{p}(Omega)).
Since the existence and uniqueness of the weak solutions to the original BVP is an open question for arbitrary given distribution (gin L^{p}(Omega)) with (p>2), the following result reflects some interesting properties of weak solutions satisfying inequality (3.1).
Let (gin L^{p}(Omega)) ((p>2)) be a given distribution and let (yin H^{1}(Omega)) be a weak solution to BVP (1.1 - 1.2 1.1 - 1.2ense of Definithen 2.1.
Heavy capital spending gins up growth when factories are built, but it also shows up in the data as weak productivity if the factories are only partly used.
Since (gin L_{p',w^{1-p'}}), the last integral in (4.3) converges to zero as (trightarrow a^), which means weak convergence of the family of functions ({f_{t}}) to zero as (trightarrow a^).
Moreover, since we cannot assert that the BVP (1.1 - 1.2 1.1 - 1.2t leadmitse solution for atgiven (gin least(onega)), our main intention isolutionw that the original BVP possesses the so-called approximate weak solutions.
Oral GIN elicited an estrogenic response in the neonatal uterus, whereas the response to oral GEN was much weaker.
