On the Newton–Kantorovich Scheme for Evolutionary Equations
Copyright policy )On the Newton–Kantorovich Scheme for Evolutionary Equations
Abstract We propose a constructive form of the Newton–Kantorovich method to obtain solutions for evolutionary equations with small nonlinearities. The construction is applicable to equations in non-Banach linear spaces. The paper presents only a sketch of the method, without specifying the norms involved and without giving necessary $$\varepsilon$$ – $$\delta$$ details.
- Peoples' Friendship University of Russia Russian Federation
- French National Centre for Scientific Research France
- Shandong Women’s University China (People's Republic of)
- National Research University Higher School of Economics Russian Federation
- Université Paris Cité France
Newton-Kantorovich scheme, Abstract parabolic equations, Quasilinear parabolic equations, evolutionary equations, Second-order semilinear hyperbolic equations, Abstract hyperbolic equations, Series solutions to PDEs, KAM theory, Implicit function theorems; global Newton methods on manifolds, approximate propagators
Newton-Kantorovich scheme, Abstract parabolic equations, Quasilinear parabolic equations, evolutionary equations, Second-order semilinear hyperbolic equations, Abstract hyperbolic equations, Series solutions to PDEs, KAM theory, Implicit function theorems; global Newton methods on manifolds, approximate propagators
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!