Volume 2 A.A.Kovalevsky, I.I.Skrypnik, A.E.Shishkov. Singular solutions of nonlinear elliptic and parabolic equations. Kyiv: Naukova dumka, 2010. – 499 p.
In the second volume of the series «Problems and methods: mathematics, mechanics,
cybernetics» several trends of investigation of singular solutions of nonlinear elliptic and parabolic equations are covered. Results on existence and properties of weak and entropy solutions for elliptic second-order equations and some classes of fourth-order equations with L1-data are stated. Questions on removability of singularities and asymptotic behaviour of solutions in a neighbourhood of singularity set for general elliptic and parabolic second-order equations in divergence form are considered. Localized and nonlocalized singularly peaking boundary regimes for different classes of quasilinear parabolic second- and high-order equations in divergence form are described.
Annotation and table of contents in English are given at the end of the book.
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