On the propagation of perturbations for essentially nonautonomous quasilinear first-order equations

DOI10.1007/BF02368669zbMath0844.35018MaRDI QIDQ1910256

Yu. G. Rykov

Publication date: 21 May 1996

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

finite time extinctionspace localization

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (1)

On some nonlinear problems in mathematical physics with exponents close to critical ones

Cites Work

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• Differential equations in a Banach space
• The semigroup approach to first order quasilinear equations in several space variables
• Hyperbolic systems of conservation laws II
• Large-Time Behavior of Solutions to a Scalar Conservation Law in Several Space Dimensions
• Global solutions of the cauchy problem for quasi‐linear first‐order equations in several space variables
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• The partial differential equation u_t + uu_x = μ_xx
• Weak solutions of nonlinear hyperbolic equations and their numerical computation

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