A Geometric Approach To Free Boundary Problems (Graduate

A Geometric Approach To Free Boundary Problems (Graduate Studies in Mathematics, 68)
- Used Book in Good Condition
Free or moving boundary problems appear in many areas of analysis, geometry, and applied mathematics. A typical example is the evolving interphase between a solid and liquid phase: if we know the initial configuration well enough, we should be able to reconstruct its evolution, in particular, the evolution of the interphase. In this book, the authors present a series of ideas, methods, and techniques for treating the most basic issues of such a problem. In particular, they describe the very fundamental tools of geometry and real analysis that make this possible: properties of harmonic and caloric measures in Lipschitz domains, a relation between parallel surfaces and elliptic equations, monotonicity formulas and rigidity, etc. The tools and ideas presented here will serve as a basis for the study of more complex phenomena and problems. This book is useful for supplementary reading or will be a fine independent study text. It is suitable for graduate students and researchers interested in partial differential equations.
Country USA
Brand Brand: American Mathematical Society
Manufacturer Amer Mathematical Society
Binding Hardcover
UnitCount 1
EANs 9780821837849
ReleaseDate 0000-00-00

Country	USA
Brand	Brand: American Mathematical Society
Manufacturer	Amer Mathematical Society
Binding	Hardcover
UnitCount	1
EANs	9780821837849
ReleaseDate	0000-00-00

A Geometric Approach To Free Boundary Problems (Graduate Studies in Mathematics, 68)