Zobrazeno 1 - 10 of 14 pro vyhledávání: '"Gideon Peyser"'
1
Stability of Symmetric Hyperbolic Systems with Nonlinear Feedback
Autor: Gideon Peyser
Publikováno v: SIAM Journal on Mathematical Analysis. 6:925-936
This paper studies the stability of distributed parameter systems represented by the symmetric hyperbolic system $\Phi_i + \sum _{i = 1}^m A_i \Phi_{x_i} + B\Phi = \mathcal{F}\Phi $, with the nonlinear feedback operator $\mathcal{F}$. The trajectory
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4cdd37f2c0b8d3a27392d520875c8ef9
https://doi.org/10.1137/0506081
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2
Symmetric positive systems in corner domains
Autor: Gideon Peyser
Publikováno v: Journal of Differential Equations. 18(1):135-157
Consider the symmetric positive system of n equations in m + 2 variables, A∂u∂x + B∂u∂y + ∑i=1m Ci∂u∂zi + Du = ƒ in the corner domain x > 0, y > 0, − ∞ < zi < ∞, with homogeneous data on x = 0 and y = 0. The n × n matrices A, B,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3d0192435e69d760bbf778a71ccab27
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3
On the domain of absolute convergence of Dirichlet series in several variables
Autor: Gideon Peyser
Publikováno v: Proceedings of the American Mathematical Society. 9:545-550
with complex Am and Umk. In ?1 we show that the domain of absolute convergence of this series is convex. Conversely, given a convex domain in E2n=E2n(xl, Yl, , * Xn, yn) and a preassigned sequence of exponents {mk } we construct a Dirichlet series of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f2615e14da1ac7c4377a4311245fd37e
https://doi.org/10.1090/s0002-9939-1958-0097360-6
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4
On the differentiability of solutions of symmetric hyperbolic systems
Autor: Gideon Peyser
Publikováno v: Proceedings of the American Mathematical Society. 14:963-969
This paper is concerned with the Differentiability Theorem for linear symmetric hyperbolic systems of partial differential equations of the first order. In [1 ] Friedrichs derives the existence and uniqueness of the strong solution of the Cauchy prob
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ed83cd62eb8476a292a08f489eb6c594
https://doi.org/10.1090/s0002-9939-1963-0156102-8
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5
On spaces with norms of negative and positive order
Autor: Gideon Peyser
Publikováno v: Proceedings of the American Mathematical Society. 33:81-88
The two Hilbert spaces H 0 {H_0} and H 1 {H_1} are defined to be a generating pair if H 1 {H_1} is a dense subspace of H 0 {H_0} and if the norm of an element in H 1 {H_1} is greater than or equal to the norm in H 0 {H_0} . It is shown that the pair
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4710f3937889b336b5e2dd2147dc6459
https://doi.org/10.1090/s0002-9939-1972-0296665-0
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6
Hyperbolic Equations with Multiple Characteristics and Time Dependent Coefficients
Autor: Gideon Peyser
Publikováno v: SIAM Journal on Mathematical Analysis. 2:402-412
This paper considers hyperbolic operators of order n in the $m + 1$ variables $(t,x_1 , \cdots ,x_m )$ with multiple characteristics and coefficients depending on the time variable t. The roots of the principal part of the characteristic polynomial a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e6e4e15f6777fc09fce3048ed6f24842
https://doi.org/10.1137/0502038
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10
Energy inequalities for hyperbolic equations in several variables with multiple characteristics and constant coefficients
Autor: Gideon Peyser
Publikováno v: Transactions of the American Mathematical Society. 108:478-490
In this paper we shall derive energy integral inequalities for the linear hyperbolic partial differential equation of any order in several variables with multiple characteristics and constant coefficients. In [1] Garding uses an idea by Leray [6] to
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7c9273557ea0093806f889a30e5d5759
https://doi.org/10.1090/s0002-9947-1963-0157112-1
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