197,287 research outputs found
On the differentiability class of the admissible square roots of regular nonnegative functions
No full textChannel properties of mitochondrial carriers
No full textDierks T, Stappen R, Krämer R. Channel properties of mitochondrial carriers. In: Forte M, Colombini M, eds. Molecular Biology of Mitochondrial Transport Systems. Nato ASI Series. Vol H83. Berlin: Springer; 1994: 117-129
Modulus of continuity and decay at infinity in evolution equations with real characteristics
No full textStudies in Phase Space Analysis with Applications to PDEs - Progress in Nonlinear Differential Equations and Their Applications - Volume 84 - 2013
No full textProvides both surveys and recent advances in phase space analysis for PDEs
Distinguished mathematicians address current work of importance
Encompasses applications to a wide range of areas in mathematics and physics
This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysis, have continued to yield striking results over the past years and are now one of the main tools of investigation of PDEs. Their role in many applications to physics, including quantum and spectral theory, is equally important.
Key topics addressed in this volume include:
*general theory of pseudodifferential operators
*Hardy-type inequalities
*linear and non-linear hyperbolic equations and systems
*Schrödinger equations
*water-wave equations
*Euler-Poisson systems
*Navier-Stokes equations
*heat and parabolic equations
Various levels of graduate students, along with researchers in PDEs and related fields, will find this book to be an excellent resource.
Contributors
T. Alazard P.I. Naumkin
J.-M. Bony F. Nicola
N. Burq T. Nishitani
C. Cazacu T. Okaji
J.-Y. Chemin M. Paicu
E. Cordero A. Parmeggiani
R. Danchin V. Petkov
I. Gallagher M. Reissig
T. Gramchev L. Robbiano
N. Hayashi L. Rodino
J. Huang M. Ruzhanky
D. Lannes J.-C. Saut
F. Linares N. Visciglia
P.B. Mucha P. Zhang
C. Mullaert E. Zuazua
T. Narazaki C. Zuil
Modulus of continuity of the coefficients and (non)quasianalytic solutions in the strictly hyperbolic Cauchy problem
No full text
A well-posed Cauchy problem for an evolution equation with coefficients of low regularity
No full textIn the hyperbolic Cauchy problem, the well-posedness in Sobolev spaces is strictly related to the modulus of continuity of the coefficients.
This holds true for -evolution equations with real characteristics ( hyperbolic equations, vibrating plate and Scr\"odinger type models, ...). We show that, for , a lack of regularity in can be balanced by a damping of the too fast oscillations as
the space variable . This can not happen in the hyperbolic case because of the finite speed of propagation
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