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Some properties of solutions for a class of metaparabolic equations. (English) Zbl 1207.35069
Summary: We study the initial boundary value problem for a class of metaparabolic equations. We establish the existence of solutions by the energy techniques. Some results on the regularity, blow-up and existence of global attractor are obtained.
MSC:
35B41 Attractors
35B65 Smoothness and regularity of solutions to PDEs
35K70 Ultraparabolic equations, pseudoparabolic equations, etc.
35B44 Blow-up in context of PDEs
35K20 Initial-boundary value problems for second-order parabolic equations
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