Global existence results for eikonal equation with BV initial data
نویسندگان
چکیده
منابع مشابه
Sharp Global Existence for Semilinear Wave Equation with Small Data
The global existence in time for nonlinear wave equation with small data usually require high Sobolev regularity, when one dealt with them by classical energy method (see [Kl85] [Ch85]). The purpose of this note is to give the sharp regularity global existence for semilinear equation with the power nonlinearity of the derivative, the counterpart of quasilinear equation or the quadratic nonlinea...
متن کاملCharacteristic Surface Data for the Eikonal Equation
A method of solving the eikonal equation, in either flat or curved space-times, with arbitrary Cauchy data, is extended to the case of data given on a characteristic surface. We find a beautiful relationship between the Cauchy and characteristic data for the same solution, namely they are related by a Legendre transformation. From the resulting solutions, we study and describe the wave-front si...
متن کامل“Focusing” eikonal equation and global tomography
The transformation of the eikonal equation from depth coordinates (z, x) into verticaltraveltime coordinates (τ ,ξ ) enables the computation of reflections traveltimes independent of depth-mapping. This separation allows the focusing and mapping steps to be performed sequentially even in the presence of complex velocity functions, that otherwise would “require” depth migration. The traveltimes ...
متن کاملOn the Existence and Uniqueness of Global Solutions for the Kdv Equation with Quasi-periodic Initial Data
with quasi-periodic initial data whose Fourier coefficients decay exponentially and prove existence and uniqueness, in the class of functions which have an expansion with exponentially decaying Fourier coefficients, of a solution on a small interval of time, the length of which depends on the given data and the frequency vector involved. For a Diophantine frequency vector and for small quasi-pe...
متن کاملThe existence of global attractor for a Cahn-Hilliard/Allen-Cahn equation
In this paper, we consider a Cahn-Hillard/Allen-Cahn equation. By using the semigroup and the classical existence theorem of global attractors, we give the existence of the global attractor in H^k(0
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: Nonlinear Differential Equations and Applications NoDEA
سال: 2015
ISSN: 1021-9722,1420-9004
DOI: 10.1007/s00030-015-0310-9