On the Cauchy problem for the nonlinear biharmonic equation
نویسندگان
چکیده
منابع مشابه
the algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولAdomian Decomposition Method On Nonlinear Singular Cauchy Problem of Euler-Poisson- Darbuox equation
n this paper, we apply Picard’s Iteration Method followed by Adomian Decomposition Method to solve a nonlinear Singular Cauchy Problem of Euler- Poisson- Darboux Equation. The solution of the problem is much simplified and shorter to arriving at the solution as compared to the technique applied by Carroll and Showalter (1976)in the solution of Singular Cauchy Problem.
متن کاملOn the Cauchy Problem for the Derivative Nonlinear Schrödinger Equation with Periodic Boundary Condition
It is shown that the Cauchy problem associated to the derivative nonlinear Schrödinger equation ∂tu − i∂ xu = λ∂x(|u| u) is locally well-posed for initial data u(0) ∈ H(T), if s ≥ 1 2 and λ is real. The proof is based on an adaption of the gauge transformation to periodic functions and sharp multi-linear estimates for the gauge equivalent equation in Fourier restriction norm spaces. By the use ...
متن کاملThe Cauchy Problem for the Nonlinear Schrödinger Equation on a Compact Manifold
We discuss the wellposedness theory of the Cauchy problem for the nonlinear Schrödinger equation on compact Riemannian manifolds. New dispersive estimates on the linear Schrödinger group are used to get global existence in the energy space on arbitrary surfaces and three-dimensional manifolds, generalizing earlier results by Bourgain on tori. On the other hand, on specific manifolds such as sph...
متن کاملOn the Cauchy problem for a nonlocal, nonlinear Schrödinger equation occuring in plasma Physics
In this work, our goal is to study the Cauchy problem for some generalization of the following system. { iφt + ∆φ = −div(|∇ψ|2∇ψ), ∆ψ = φ. In particular we shall construct solutions in the energy space associated to this system. We give some sufficient conditions on the initial data which ensure that the solutions are global, but we show that in some cases, finite time blow up occures. ∗This wo...
متن کاملذخیره 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: Journal of Mathematical Analysis and Applications
سال: 1971
ISSN: 0022-247X
DOI: 10.1016/0022-247x(71)90047-3