Linear and Quasilinear Parabolic Systems Alexander Carmichael and the Media presents state-of-the-art

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Linear and Quasilinear Parabolic Systems Alexander Carmichael and the Media presents state-of-the-artThis monograph presents a systematic theory of weak solutions in Hilbert Sobolev spaces of initial boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinear systems are given, including local existence for large data, global existence near an attractor, the Leray and Hopf theorems for the Navier Stokes