New evolution PDEs with many isochronous solutions
نویسندگان
چکیده
منابع مشابه
Pdes with Compressed Solutions
Sparsity plays a central role in recent developments in signal processing, linear algebra, statistics, optimization, and other fields. In these developments, sparsity is promoted through the addition of an L norm (or related quantity) as a constraint or penalty in a variational principle. We apply this approach to partial differential equations that come from a variational quantity, either by m...
متن کاملNumerical Solutions to PDEs with Financial Applications
We present details of the 1D PDE solver used in the OpenGamma Platform, showing how it can price European and American options, with and without barrier features. All the results in this paper we generated using MATLAB, and this code is included here www.opengamma.com/downloads/financial-pde-solving-matlab-examples.zip.
متن کاملHamiltonian PDEs: deformations, integrability, solutions
We review recent classification results on the theory of systems of nonlinear Hamiltonian partial differential equations with one spatial dimension, including a perturbative approach to the integrability theory of such systems, and discuss universality conjectures describing critical behaviour of solutions to such systems. PACS numbers: 02.30.Ik, 02.30.Jr
متن کاملInfinitely many solutions for a bi-nonlocal equation with sign-changing weight functions
In this paper, we investigate the existence of infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions. We use some natural constraints and the Ljusternik-Schnirelman critical point theory on C1-manifolds, to prove our main results.
متن کاملNew evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs
By using functional integral methods we determine new types of differential equations satisfied by the joint response excitation probability density function associated with the stochastic solution to first-order nonlinear scalar PDEs. The theory is developed for arbitrary fully nonlinear and for quasilinear first-order stochastic PDEs subject to random boundary conditions, random initial condi...
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: 2009
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2008.12.038