Displaying similar documents to “On the behavior of solutions of parbolic equations with unbounded coefficients”

Boundary singularities of solutions to quasilinear elliptic equations

Vladimir Kozlov, Vladimir Maz'ya (1999)

Journées équations aux dérivées partielles

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Asymptotic formulae for solutions to boundary value problems for linear and quasilinear elliptic equations and systems near a boundary point are discussed. The boundary is not necessarily smooth. The main ingredient of the proof is a spectral splitting and reduction of the original problem to a finite-dimensional dynamical system. The linear version of the corresponding abstract asymptotic theory is presented in our new book “Differential equations with operator coefficients”, Springer,...