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Let ((u,theta)) be a strong solution of problem (1.1 - 1.5).
Let ((rho, mathrm {u}, mathrm {H})) be a strong solution of (1.1 - 1.6 1.1 - 1.6atimes(0,infty)).
Let ( ρ, u, w, H ) be a strong solution of the problem (1.1), (1.2) and (1.4) as described in Theorem 1.1.
Let ( ρ, u, w, H ) be a strong solution of the Cauchy problem (1.1), (1.2) and (1.4) with the regularities (1.8).
Note that, according to the definition of the strong solution, the function u will be a strong solution of Problem B if and only if u ∈ D ( L ).
Let also (uin C [0,T],H^{s}(mathbb{R}))) be a strong solution of the Cauchy problem for Equation (1.1) such that (u|_{t=0} =u_{0}) satisfies u_{0}phiin L^{p}(mathbb{R} quad textit{and} quad ( partial_{x}u_{0} phiin L^{p}(mathbb{R}), where ϕ is an admissible weight function for Equation (1.1).
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"We hadn't even asked ourselves if there will be a stigma attached to this, because we are so sure it is a strong solution to a climate problem," said Jeff Seabright, vice president for environment and water resources at Coca-Cola.
If (U_{0}in D mathcal{A})), then the above mild solution is a strong solution.
Hence, the mild solution (x t)) is a strong solution to problem (3.1).
A simple geometric discussion tells us that is a strong solution for (SEP) I. Corollary 2.5.
then is a strong solution of (SEP I; that is, there exists such that (2.13).
More suggestions(15)
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com