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end{aligned}Note that the function (f_Omega ) minimizing the integral functional on the right hand side coincides with the unique solution of the Dirichlet problem begin{aligned} -Delta f_Omega =1quad text { in } Omega,quad f_Omega =0 quad text { on }partial Omega.
Note that the function (3.38).
Note that the function z ( t ) is nondecreasing.
Note that the function v ( t ) is nondecreasing.
Note that the function defined by (2.14) is nonnegative on.
Note that the function θ → X 0 G ( U s ) is not continuous at θ = 0.
Let us note that the function U is the generalization of the energy function.
Note that the function (tmapsto I tvarphi(t_{n},u))) is smooth in ((0,1)).
end{aligned} Note that the function a depends on the state variable u.
Note that the function is the solution of the problem (2.44).
Note that the function h is the metric defined on the space (H X)).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com