Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
|
Buy Now
Parabolicity, Volterra Calculus, and Conical Singularities (Hardcover)
Loot Price: R2,755
Discovery Miles 27 550
|
|
Parabolicity, Volterra Calculus, and Conical Singularities (Hardcover)
Series: Operator Theory: Advances and Applications / Advances in Partial Differential Equations, No. 138
Expected to ship within 10 - 15 working days
|
This volume highlights the analysis on noncompact and singular
manifolds within the framework of the cone calculus with
asymptotics. The three papers at the beginning deal with parabolic
equations, a topic relevant for many applications. The first
article presents a calculus for pseudodifferential operators with
an anisotropic analytic parameter. The subsequent paper develops an
algebra of Mellin operators on the infinite space-time cylinder. It
is shown how timelike infinity can be treated as a conical
singularity. In the third text - the central article of this volume
- the authors use these results to obtain precise information on
the long-time asymptotics of solutions to parabolic equations and
to construct inverses within the calculus. There follows a
factorization theorem for meromorphic symbols: It is proven that
each of these can be decomposed into a holomorphic invertible part
and a smoothing part containing all the meromorphic information. It
is expected that this result will be important for applications in
the analysis of nonlinear hyperbolic equations. The final article
addresses the question of the coordinate invariance of the Mellin
calculus with asymptotics.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.