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- catalog abstract "In this Research Note the author brings together the body of known work and presents many recent results relating to nonlinear partial differential equations that give rise to a free boundary--usually the boundary of the set where the solution vanishes identically. The formation of such a boundary depends on an adequate balance between two of the terms of the equation that represent the particular characteristics of the phenomenon under consideration: diffusion, absorption, convection, evolution etc. These balances do not occur in the case of a linear equation or an arbitrary nonlinear equation. Their characterization is studied for several classes of nonlinear equations relating to applications such as chemical reactions, non-Newtonian fluids, flow through porous media and biological populations. In this first volume, the free boundary for nonlinear elliptic equations is discussed. A second volume dealing with parabolic and hyperbolic equations is in preparation.".
- catalog alternative "Nonlinear PDEs and free boundaries".
- catalog contributor b688174.
- catalog created "c1985-".
- catalog date "1985".
- catalog date "c1985-".
- catalog dateCopyrighted "c1985-".
- catalog description "Bibliography: v. 1, p. 292-318.".
- catalog description "In this Research Note the author brings together the body of known work and presents many recent results relating to nonlinear partial differential equations that give rise to a free boundary--usually the boundary of the set where the solution vanishes identically. The formation of such a boundary depends on an adequate balance between two of the terms of the equation that represent the particular characteristics of the phenomenon under consideration: diffusion, absorption, convection, evolution etc. These balances do not occur in the case of a linear equation or an arbitrary nonlinear equation. Their characterization is studied for several classes of nonlinear equations relating to applications such as chemical reactions, non-Newtonian fluids, flow through porous media and biological populations. In this first volume, the free boundary for nonlinear elliptic equations is discussed. A second volume dealing with parabolic and hyperbolic equations is in preparation.".
- catalog description "v. 1. Elliptic equations.".
- catalog extent "v. :".
- catalog hasFormat "Nonlinear partial differential equations and free boundaries.".
- catalog identifier "0273085727".
- catalog isFormatOf "Nonlinear partial differential equations and free boundaries.".
- catalog isPartOf "Research notes in mathematics ; 106".
- catalog issued "1985".
- catalog issued "c1985-".
- catalog language "eng".
- catalog publisher "Boston, Mass. : Pitman,".
- catalog relation "Nonlinear partial differential equations and free boundaries.".
- catalog subject "Boundary value problems.".
- catalog subject "Differential equations, Partial.".
- catalog subject "QA377 .D59 1985".
- catalog tableOfContents "v. 1. Elliptic equations.".
- catalog title "Nonlinear PDEs and free boundaries".
- catalog title "Nonlinear partial differential equations and free boundaries / J.I. Diaz.".
- catalog type "text".