scientific article

zbMath1172.46016MaRDI QIDQ3618412

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Publication date: 31 March 2009

Full work available at URL: http://www.math.ualberta.ca/ijnam/Volume-5-2008/Special-08/08.pdf

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zbMATH Keywords

Sobolev spacesreaction-diffusionLebesgue spaceshomogenisationdirect integraldistributed-microstructure model

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Reaction-diffusion equations (35K57) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Sobolev space of functions valued in a monotone Banach family ⋮ Well-posedness for a quasilinear generalization of the matched microstructure model ⋮ On changing variables in \(L^p\)-spaces with distributed-microstructure ⋮ Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries ⋮ Quasilinear parabolic equations with first order terms and \(L^1\)-data in moving domains ⋮ Strong solutions of semilinear matched microstruture models ⋮ Homogenization of a locally periodic time-dependent domain ⋮ An abstract framework for parabolic PDEs on evolving spaces ⋮ Large‐time behavior of a two‐scale semilinear reaction–diffusion system for concrete sulfatation ⋮ Relative entropy and a weak-strong uniqueness principle for the compressible Navier-Stokes equations on moving domains

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