[BOOK][B] The analysis of linear partial differential operators III: Pseudo-differential operators
L Hörmander - 2007 - books.google.com
From the reviews:" Volumes III and IV complete L. Hörmander's treatise on linear partial
differential equations. They constitute the most complete and up-to-date account of this …
differential equations. They constitute the most complete and up-to-date account of this …
Fourier Integral Operators. I
L Hörmander - Mathematics Past and Present Fourier Integral …, 1985 - Springer
Pseudo-differential operators have been developed as a tool for the study of elliptic
differential equations. Suitably extended versions are also applicable to hypoelliptic …
differential equations. Suitably extended versions are also applicable to hypoelliptic …
[PDF][PDF] Estimates for singular Radon transforms and pseudodifferential operators with singular symbols
There has been considerable interest in recent years in extending the theory ol Calderbn-
Zygmund singular integrals to operators whose kernels are cont: entrated on (or singular …
Zygmund singular integrals to operators whose kernels are cont: entrated on (or singular …
The effectively hyperbolic Cauchy problem
K Kajitani, T Nishitani, T Nishitani - The Hyperbolic Cauchy Problem, 1991 - Springer
We introduce the notion of effectively hyperbolic operators following Ivrii-Petkov [11] and
Hormander [9J. We also give a geometric characterization of it, following Nishitani [29, 31J …
Hormander [9J. We also give a geometric characterization of it, following Nishitani [29, 31J …
[PDF][PDF] Local energy integrals for effectively hyperbolic operators II
T Nishitani - Journal of Mathematics of Kyoto University, 1984 - projecteuclid.org
In the previous paper [2], we have derived the local energy estimates for effectively
hyperbolic operators of second order of type (l). In this note, we shall derive the local energy …
hyperbolic operators of second order of type (l). In this note, we shall derive the local energy …
[BOOK][B] The hyperbolic Cauchy problem
K Kajitani, T Nishitani - 2006 - books.google.com
The approach to the Cauchy problem taken here by the authors is based on theuse of
Fourier integral operators with a complex-valued phase function, which is a time function …
Fourier integral operators with a complex-valued phase function, which is a time function …
of Pseudodifferential Operators with Singular Symbols
JL Antoniano, GA Uhlmann - Pseudodifferential operators and …, 1985 - books.google.com
0. Introduction and statement of results. Distributions whose wave front set is contained in
several intersecting Lagrangian manifolds appear naturally in many situations. For instance …
several intersecting Lagrangian manifolds appear naturally in many situations. For instance …
The Cauchy problem for weakly hyperbolic equations of second order
T Nishitani - Communications in Partial Differential Equations, 1980 - Taylor & Francis
The cauchy problem for weakly hyperbolic equations of second order Page 1 COMM. IN
PARTIAL DIFFERENTIAL EQUATIONS, 5(12), 1273-1296 (1980) THE CAUCHY PROBLEM FOR …
PARTIAL DIFFERENTIAL EQUATIONS, 5(12), 1273-1296 (1980) THE CAUCHY PROBLEM FOR …
The Cauchy problems for effectively hyperbolic equations (a special case)
N Iwasaki - Journal of Mathematics of Kyoto University, 1983 - projecteuclid.org
§ O. Introduction. The results by V. Va Ivrii and VM Petkov [4] have a proposition come to
mind. They conjecture that effectively hyperbolic operators must be strongly hyperbolic. The …
mind. They conjecture that effectively hyperbolic operators must be strongly hyperbolic. The …
The Cauchy problem for effectively hyperbolic operators
R Melrose - Hokkaido Mathematical Journal, 1983 - projecteuclid.org
Following the pioneering work of Oleinik [8], Ivrii & Petkov [5] and then H\" ormander [2]
analysed the structure of the principal symbol of a weakly hyperbolic differential operator …
analysed the structure of the principal symbol of a weakly hyperbolic differential operator …