The scattering map determines the nonlinearity
نویسندگان
چکیده
Using the two-dimensional nonlinear Schrödinger equation as a model example, we present general method for recovering nonlinearity of dispersive from its small-data scattering behavior. We prove that under very mild assumptions on nonlinearity, wave operator uniquely determines does map. Evaluating map well-chosen initial data, reduce problem to an inverse convolution problem, which solve by means application Beurling–Lax Theorem.
منابع مشابه
Retinoic Acid Determines the Fate of Spermatogonia
In this review, we aim to examine the effect of extrinsic and intrinsic factors on spermatogenesis process taking into account a complex signaling pathway. Primarily, it is suggested that retinoic acid (RA) has a vital function in spermatogenesis process and it is considered to be essential for completion of spermatogonia into mature spermatozoa. In the present review, the key effects of retino...
متن کاملChaotic scattering and the magneto-Coulomb map.
A nonrelativistic classical electron scattering by a fixed ion in a uniform magnetic field is discussed. The system is nonintegrable, and there is chaotic scattering for a certain class of initial conditions. A two-dimensional discrete map is derived from the equation of motion. Our map exhibits four different types of motion by changing the parameters which characterize the initial condition. ...
متن کاملromantic education:reading william wordsworths the prelude in the light of the history of ideas
عصر روشنگری زمان شکل گیری ایده های مدرن تربیتی- آموزشی بود اما تاکید بیش از اندازه ی دوشاخه مهم فلسفی زمان یعنی عقل گرایی و حس گرایی بر دقت و وضوح، انسان عصر روشنگری را نسبت به دیگر تواناییهایش نابینا کرده و موجب به وجود آمدن افرادی تک بعدی شد که افتخارعقلانیتشان، تاکید شان بر تجربه فردی، به مبارزه طلبیدن منطق نیاکانشان وافسون زدایی شان از دنیا وتمام آنچه با حواس پنجگانه قابل درک نبوده و یا در ...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2023
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/16297