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Advances in Phase Space Analysis of Partial Differential Equations: In Honor of Ferruccio Colombini's 60th Birthday (Progress in Nonlinear Differential Equations and Their Applications, Volume 78)

Advances in Phase Space Analysis of Partial Differential Equations: In Honor of Ferruccio Colombini's 60th Birthday (Progress in Nonlinear Differential Equations and Their Applications, Volume 78)

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Advances in Phase Space Analysis of Partial Differential Equations: In Honor of Ferruccio Colombini's 60th Birthday (Progress in Nonlinear Differential Equations and Their Applications, Volume 78)

Advances in Phase Space Analysis of Partial Differential Equations: In Honor of Ferruccio Colombini's 60th Birthday (Progress in Nonlinear Differential Equations and Their Applications, Volume 78) Summary:

 
By Antonio Bove, Daniele Del Santo, M.K. Venkatesha Murthy
  • Publisher:   Birkhäuser Boston
  • Number Of Pages:   302
  • Publication Date:   2009-09-29
  • ISBN-10 / ASIN:   0817648607
  • ISBN-13 / EAN:   9780817648602
Product Description:

This collection of original articles and surveys addresses the recent advances in linear and nonlinear aspects of the theory of partial differential equations.

Key topics:

* Operators as "sums of squares" of real and complex vector fields:both analytic hypoellipticity and regularity for very low regularity coefficients;

* Nonlinear evolution equations: Navier–Stokes system, Strichartz estimates for the wave equation, instability and the Zakharov equation and eikonals;

* Local solvability: its connection with subellipticity, local solvability for systems of vector fields in Gevrey classes;

* Hyperbolic equations: the Cauchy problem and multiple characteristics, both positive and negative results.

Graduate students at various levels as well as researchers in PDEs and related fields will find this an excellent resource.

Contributors: Ambrosio, Berhanu, J.-M. Bony, Chemin, Dencker, Gallagher, Gerard, Hounie, Jannelli, Kajitani, Lerner, Nishitani, Petkov, Rauch, Reissig, Spagnolo, Tataru, Treves, Uhlmann, and Zuazua.


Common terms and phrases
algebra approximation property assume assumption belongs Besov spaces bicharacteristic boundary bounded Cauchy problem coefficients commutative condition consider continuous damped defined Definition denote derivatives Differential Equations eigenvalues Example exists exponential decay finite loss finite type Fourier integral operators Fourier transform frequency localized function Heisenberg group hence holomorphic homogeneous hyperbolic equations hyperbolic operators inequality invariant invertible kernel KerQ Lebesgue measure Lemma linear localized energy estimates locally solvable loss of regularity Math matrix metric multiplicity neighborhood nondegenerate norm obtain one-dimensional orbits ordinary reflecting partial differential Phase Space Analysis polynomial positive constant principal symbol principal type proof of Theorem Proposition prove pseudodifferential operators quasi-symmetrizable real analytic Remark result scalar Section sequence Sobolev spaces solution Springer Science+Business Media Strichartz estimates subelliptic symmetrizer Theorem 1.1 vanishes vector field viscosity viscosity operator wave equation weakly hyperbolic well-posed zero

 
 
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Advances in Phase Space Analysis of Partial Differential Equations: In Honor of Ferruccio Colombini's 60th Birthday (Progress in Nonlinear Differential Equations and Their Applications, Volume 78) Keywords

  equations   differential   operators   hyperbolic   equation   estimates   nonlinear   vector   partial   regularity   analytic   finite   loss   fourier   strichartz   positive   fields   cauchy   solvability   differential equations   local solvability   partial differential   rauch reissig   spagnolo tataru   reissig spagnolo   tataru treves   treves uhlmann   algebra approximation   phrases algebra   partial differential equations

Bookmark Advances in Phase Space Analysis of Partial Differential Equations: In Honor of Ferruccio Colombini's 60th Birthday (Progress in Nonlinear Differential Equations and Their Applications, Volume 78)

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