Some qualitative studies of the focusing inhomogeneous Gross–Pitaevskii equation
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چکیده
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analysis of reading comprehension needs of the students of paramedical studies: the case of the students of health information management (him)
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15 صفحه اولextensions of some polynomial inequalities to the polar derivative
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We present the theory of the viscosity solutions of the inhomogeneous infinity Laplace equation ∂xi u∂xj u∂ 2 xixj u = f in domains in Rn. We show existence and uniqueness of a viscosity solution of the Dirichlet problem under the intrinsic condition f does not change its sign. We also discover a characteristic property, which we call the comparison with standard functions property, of the visc...
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Define ‖f‖Hk = ∑ 0≤j≤k ∥∥∂j xf∥∥2L2 1/2 . If u is a distribution on T, ∂xu is also a distribution on T, and in particular, if u ∈ L(T) then ∂xu is a distribution on T. But if u ∈ H(T), for example, then ∂ xu is an element of L (T), rather than merely being a distribution. Fix T > 0. Let f ∈ L(0, T ;L(T)) and g ∈ H(T); as H(T) ⊂ C(T), we can speak about the value of g at every point rather ...
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ژورنال
عنوان ژورنال: Zeitschrift für angewandte Mathematik und Physik
سال: 2020
ISSN: 0044-2275,1420-9039
DOI: 10.1007/s00033-020-01301-z