Results 31 to 40 of about 2,675,517 (69)
Remarks on Lin-Nakamura-Wang's paper [PDF]
arXiv, 2019 Theorem 1.2 in their paper arXiv:1904.00999v1 [math.AP] 30 Mar 2019 "Reconstruction of unknown cavity by single measurement" is not valid.
arxiv
Analyzability in the context of PDEs and applications [PDF]
Annales Fac. Sci. Toulouse, V XIII, Fasc. 4, pp.539--549 (2004), 2006 We discuss the notions of resurgence, formalizability, and formation of singularities in the context of partial differential equations. The results show that Ecalle's how analyzability theory extends naturally to PDEs.
arxiv
Quasi-invariant gaussian measures for one dimensional Hamiltonian PDE's [PDF]
arXiv, 2015 We prove the quasi-invariance of gaussian measures (supported by functions of increasing Sobolev regularity) under the flow of one dimensional Hamiltonian PDE's such as the regularized long wave (BBM) equation.
arxiv
Very Singular Similarity Solutions and Hermitian Spectral Theory for Semilinear Odd-Order PDEs [PDF]
arXiv, 2009 Very singular self-similar solutions of semilinear odd-order PDEs are studied on the basis of a Hermitian-type spectral theory for linear rescaled odd-order operators.
arxiv
On a perturbation method for stochastic parabolic PDE [PDF]
arXiv, 2013 In the article we address two issues related to the perturbation method introduced by Zhang and Lu, and applied to solving linear stochastic parabolic PDE. Those issues are: the construction of the perturbation series, and its convergence.
arxiv
Some remarks on monogenity [PDF]
arXivWe discuss representations of monogenic functions over very regular groups.
arxiv
Stable solutions of symmetric systems involving hypoelliptic operators [PDF]
arXiv, 2018 Please see the article for the abstract.
arxiv
Applications of microlocal analysis to inverse problems [PDF]
arXiv, 2019 These are lecture notes for a minicourse on applications of microlocal analysis in inverse problems, given in Helsinki and Shanghai in June 2019.
arxiv
, 2018 The study of symmetries of partial differential equations (PDEs) has been traditionally treated as a geometrical problem. Although geometrical methods have been proven effective with regard to finding infinitesimal symmetry transformations, they present ...
Papachristou, C. J.
core
Low regularity conservation laws for integrable PDE [PDF]
arXiv, 2017 We present a general method for obtaining conservation laws for integrable PDE at negative regularity and exhibit its application to KdV, NLS, and mKdV. Our method works uniformly for these problems posed both on the line and on the circle.
arxiv