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Titlebook: Developments in Partial Differential Equations and Applications to Mathematical Physics; G. Buttazzo,G. P. Galdi,L. Zanghirati Book 1992 P

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https://doi.org/10.1007/978-1-4899-1760-7In [2], S. Itô treated the following initial-boundary value problem for heat operator:
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Laura A. Siminoff,Maria D. ThomsonLet us consider the following nonlinear elliptic problem:.where . 1, II C .. is a bounded open set, ...(.) and ..(.) are in suitable Lorentz spaces* and .(., .) is a nonlinear term satisfying the sign condition .(., .). > O.
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Discontinuous Media and Dirichlet Forms of Diffusion TypeWe suggest that Dirichlet forms may be used in describing the variational behaviour of possibly highly nonhomogeneous and nonisotropic bodies and prove structural Harnack inequalities and Saint-Venant type decays for local solutions.
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A Remark on the Cauchy Problem of Non-Strict HyperbolicityTo state precisely the situation of this talk, we first of all quote the paper by W. Craig [1], which considers the Cauchy problem for.where.(. is the Hilbert transform) under the hypothesis on . such that.Equation (1) is closely related to the equations of fluids (Yoshihara[12], Nishiada[7]).
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