Semiclassical Asymptotics of Solutions to Hartree Type Equations Concentrated on Segments

Рассматривается задача на собственные значения для возмущенного двумерного осциллятора, где возмущением служит интегральная нелинейность типа Хартри с кулоновским потенциалом самодействия. Найдены асимптотические собственные значения и асимптотические собственные функции вблизи нижних границ спектральных кластеров, которые образуются около собственных значений невозмущенного оператора. Вблизи окружности, где локализовано решение, построено асимптотическое разложение.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Semiclassical Asymptotics of Solutions to Hartree Type Equations Concentrated on Segments

Cited by 2 publications

References 9 publications

Asymptotics of The Spectrum of a Two-Dimensional Hartree-Type Operator with a Coulomb Self-Action Potential Near the Lower Boundaries of Spectral Clusters

Asymptotics of The Spectrum of a Two-Dimensional Hartree-Type Operator with a Coulomb Self-Action Potential Near the Lower Boundaries of Spectral Clusters

Асимптотика Спектра Двумерного Оператора Типа Хартри С Кулоновским Потенциалом Самодействия Вблизи Нижних Границ Спектральных Кластеров

Contact Info

Product

Resources

About