Titlebook: Analytic Inequalities and Their Applications in PDEs; Yuming Qin Book 2017 Springer International Publishing Switzerland 2017 analytic ine

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Asymptotic Behavior of Solutions for Parabolic and Elliptic Equations, shall use Theorems 2.1.14 and 2.3.7 to establish the uniform and decay estimates for flows in a semi-infinite straight channel. In Section 7.2, we shall exploit Theorems 2.3.17–2.3.21 to establish exact rates of convergence for nonlinear PDEs.

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Blow-up of Solutions to Abstract Equations and Thermoelastic Equations,Section 11.1, we shall employ Theorem 2.4.19 to prove the blow-up results of solutions to a class of abstract initial and initial boundary value problems. In Section 11.2, we shall employ Theorem 2.4.20 to study the blow-up of solutions to a class abstract nonlinear equations.

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