Newton’s method for nonlinear stochastic wave equations
Henryk Leszczyński , Monika Wrzosek
AbstractWe consider nonlinear stochastic wave equations driven by time-space white noise. The existence of solutions is proved by the method of successive approximations. Next we apply Newton’s method. The main result concerning its first-order convergence is based on Cairoli’s maximal inequalities for two-parameter martingales. Moreover, a second-order convergence in a probabilistic sense is demonstrated.
|Journal series||Forum Mathematicum, ISSN 0933-7741, e-ISSN 1435-5337, (N/A 100 pkt)|
|Publication size in sheets||0.50|
|Keywords in English||Newton’s method, wave equation, probabilistic convergence, nonlocal dependence, Cairoli’s maximal inequality|
|Score||= 100.0, 27-07-2020, ArticleFromJournal|
|Publication indicators||= 0.000; : 2019 = 1.084; : 2018 = 0.867 (2) - 2018=0.743 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.