Download PDF by Michail Borsuk,Vladimir Kondratiev: Elliptic Boundary Value Problems of Second Order in

By Michail Borsuk,Vladimir Kondratiev

The ebook includes a systematic therapy of the qualitative conception of elliptic boundary price difficulties for linear and quasilinear moment order equations in non-smooth domain names. The authors pay attention to the subsequent primary effects: sharp estimates for robust and susceptible strategies, solvability of the boundary worth difficulties, regularity assertions for ideas close to singular points.

Key features:

* New the Hardy – Friedrichs – Wirtinger kind inequalities in addition to new vital inequalities concerning the Cauchy challenge for a differential equation.
* unique exponents of the answer reducing fee close to boundary singular issues and absolute best stipulations for this.
* The query in regards to the impact of the coefficients smoothness at the regularity of ideas.
* New lifestyles theorems for the Dirichlet challenge for linear and quasilinear equations in domain names with conical issues.
* the right strength modulus of continuity at singular boundary aspect for suggestions of the Dirichlet, combined and the Robin difficulties.
* The behaviour of vulnerable options close to conical aspect for the Dirichlet challenge for m – Laplacian.
* The behaviour of vulnerable suggestions close to a boundary aspect for the Dirichlet and combined challenge for elliptic quasilinear equations with triple degeneration.

* distinct exponents of the answer reducing cost close to boundary singular issues and absolute best stipulations for this.
* The query concerning the impact of the coefficients smoothness at the regularity of ideas.
* New lifestyles theorems for the Dirichlet challenge for linear and quasilinear equations in domain names with conical issues.
* the ideal energy modulus of continuity at singular boundary aspect for suggestions of the Dirichlet, combined and the Robin difficulties.
* The behaviour of susceptible suggestions close to conical element for the Dirichlet challenge for m - Laplacian.
* The behaviour of vulnerable strategies close to a boundary part for the Dirichlet and combined challenge for elliptic quasilinear equations with triple degeneration.

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Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains (North-Holland Mathematical Library) by Michail Borsuk,Vladimir Kondratiev


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