On some global well-posedness and asymptotic results for quasilinear parabolic equations

DOI10.1007/BF01194218zbMath0844.35051MaRDI QIDQ1906301

Kevin McLeod, Albert J. Milani

Publication date: 12 February 1996

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

global existence

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) A priori estimates in context of PDEs (35B45)

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A Remark on the Sobolev Regularity of Classical Solutions to Uniformly Parabolic Equations

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• Mixed problems for hyperbolic equations of second order
• The principle of linearized stability for quasilinear parabolic evolution equations
• A Global Existence Result For Quasi–Linear Parabolic Equations
• Asymptotic exponential stability in quasilinear parabolic equations
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