Improving estimates for differential operators in two independent variables

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Factoring Differential Operators in n Variables

In this paper, we present a new algorithm and an experimental implementation for factoring elements in the polynomial nth Weyl algebra, the polynomial nth shift algebra, and Zgraded polynomials in the nth q-Weyl algebra. The most unexpected result is that this noncommutative problem of factoring partial differential operators can be approached effectively by reducing it to the problem of solvin...

متن کامل

Gronwall's Inequality for Systems of Partial Differential Equations in Two Independent Variables

This paper presents a generalization for systems of partial differential equations of Gronwall's classical integral inequality for ordinary differential equations. The proof is by reducing the vector integral inequality to a vector partial differential inequality and then using a vector generalization of Riemann's method to obtain the final inequality. The final inequality involves a matrix fun...

متن کامل

Lipschitz Estimates for Multilinear Commutator of Pseudo-differential Operators

As the development of singular integral operators, their commutators and multilinear operators have been well studied (see [4, 5, 6, 7, 8, 9, 10]). In [4, 5, 6, 7, 8, 9, 10], the authors prove that the commutators and multilinear operators generated by the singular integral operators and BMO functions are bounded on L(R) for 1 < p <∞; Chanillo (see [2]) proves a similar result when singular int...

متن کامل

Dispersive estimates for Schrödinger operators in dimension two

The definition of zero energy being a regular point amounts to the same as zero being neither an eigenvalue nor a resonance of H. But the exact meaning of resonance requires some care here, and we refer the reader to Definition 7 below. Theorem 1 appears to be the first L1 → L∞ bound with |t|−1 decay in R2. Yajima [Yaj] and Jensen, Yajima [JenYaj] proved the Lp(R2) boundedness of the wave opera...

متن کامل

Dispersive Estimates for Matrix Schrödinger Operators in Dimension Two

We consider the non-selfadjoint operator H = [ −∆ + μ− V1 −V2 V2 ∆− μ+ V1 ] where μ > 0 and V1, V2 are real-valued decaying potentials. Such operators arise when linearizing a focusing NLS equation around a standing wave. Under natural spectral assumptions we obtain L(R)× L(R)→ L∞(R2)× L∞(R2) dispersive decay estimates for the evolution ePac. We also obtain the following weighted estimate ‖wePa...

متن کامل

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: Publications of the Research Institute for Mathematical Sciences

سال: 1969

ISSN: 0034-5318

DOI: 10.2977/prims/1195194388