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

消瘦

larder

结合

hereditary

MAOIS

被告

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.

chondromalacia

Asymptotic Behavior of Solutions to Thermoviscoelastic, Thermoviscoelastoplastic and Thermomagnetoechapter consists of three sections. In Section 9.1, we shall first employ Lemma 1.5.4 to extend the decay results in [620] for a viscoelastic system to those for the thermoviscoelastic system (9.1.1) and then establish the existence of the global attractor for the homogeneous thermoviscoelastic system (9.1.54).

减至最低

Blow-up of Solutions to Nonlinear Hyperbolic Equations and Hyperbolic-Elliptic Inequalities,consists of seven sections. In Section 10.1, we apply Theorem 2.4.6 to investigate the blow-up of solutions to semilinear wave equations. In Section 10.2, we shall employ Theorem 2.4.22 to study the blow-up of solutions to semilinear wave equations.

arthroplasty

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.

责任

Global Existence and Uniqueness for Evolutionary PDEs,ualities in Chapters . and .. This chapter consists of four sections. In Section 4.1, we use the simultaneous singular Bellman–Gronwall inequality, i.e., Theorem 1.3.2, to discuss the local existence, regularity, and continuous dependence on initial data of solutions to a weakly coupled parabolic sy