Exact(8)
We study the equation dudt + Hu = 0, where H is the operator associated with the Dirichlet form of quasi-invariant measure on Hilbert space.
Afterwards, we study the equation when the zero Dirichlet condition on the boundary is replaced by a non-zero Dirichlet condition.
In this paper we study the equation −Δu+ρ−(α+2)h(ραu)="0 in a smooth bounded domain Ω where ρ(x)= dist x,∂Ω), α>0 and h is a nondecreasing function which satisfies Keller Osserman condition.
Therefore, it is worthy to study the equation.
Before stating our main results for this section, we study the equation (3.2).
But in order to provide more useful ways to study the equation we will continue to perform this work in the future.
In this example, we study the equation below, which is called the Burgers equation, v_{t} + biggl( frac{v^{2}}{2} biggr)_{x}=0.
Study the equation.
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