Evolution equations with parameter in the hyperbolic case
Annales Polonici Mathematici, Tome 64 (1996) no. 1, pp. 47-60
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
The purpose of this paper is to give theorems on continuity and differentiability with respect to (h,t) of the solution of the initial value problem du/dt = A(h,t)u + f(h,t), u(0) = u₀(h) with parameter $h ∈ Ω ⊂ ℝ^m$ in the "hyperbolic" case.
Keywords:
evolution problem, stable family of operators, stable approximations of the evolution operator, evolution problem with parameter, hyperbolic case
Affiliations des auteurs :
Jan Bochenek 1 ; Teresa Winiarska 1
@article{10_4064_ap_64_1_47_60,
author = {Jan Bochenek and Teresa Winiarska},
title = {Evolution equations with parameter in the hyperbolic case},
journal = {Annales Polonici Mathematici},
pages = {47--60},
year = {1996},
volume = {64},
number = {1},
doi = {10.4064/ap-64-1-47-60},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-64-1-47-60/}
}
TY - JOUR AU - Jan Bochenek AU - Teresa Winiarska TI - Evolution equations with parameter in the hyperbolic case JO - Annales Polonici Mathematici PY - 1996 SP - 47 EP - 60 VL - 64 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-64-1-47-60/ DO - 10.4064/ap-64-1-47-60 LA - en ID - 10_4064_ap_64_1_47_60 ER -
Jan Bochenek; Teresa Winiarska. Evolution equations with parameter in the hyperbolic case. Annales Polonici Mathematici, Tome 64 (1996) no. 1, pp. 47-60. doi: 10.4064/ap-64-1-47-60
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