1.4k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of California, BerkeleyUS83 papers
- Lawrence Berkeley National LaboratoryUS59 papers
- Centre National de la Recherche ScientifiqueFR41 papers
- Al-Farabi Kazakh National UniversityKZ36 papers
- Korea Astronomy and Space Science InstituteKR23 papers
- Korea University of Science and TechnologyKR23 papers
- National Taiwan UniversityTW22 papers
- Ulugh Beg Astronomical InstituteUZ19 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR18 papers
- Fesenkov Astrophysical InstituteKZ18 papers
- Chinese Academy of SciencesCN17 papers
- Institut de Recherche en Astrophysique et PlanétologieFR17 papers
28 papers · 1 filter
A note on lifespan estimates for higher-order parabolic equations
Nurdaulet N. Tobakhanov, Berikbol T. Torebek
We investigate the lifespan of solutions to the higher-order semilinear parabolic equation with initial data. We focus on the…
On the critical behavior for the semilinear biharmonic heat equation with forcing term in an exterior domain
Nurdaulet N. Tobakhanov, Berikbol T. Torebek
In this paper, we investigate the critical behavior of solutions to the semilinear biharmonic heat equation with forcing term under six homogeneous boundary conditions. Thi…
Existence of normalized ground state solution to a mixed Schrödinger system in a plane
Ashutosh Dixit, Amin Esfahani, Hichem Hajaiej +1
In this paper, we establish the existence of positive ground state solutions for a class of mixed Schrödinger systems with concave-convex nonlinearities in , subject…
A Hamiltonian Dysthe equation for hydroelastic waves in a compressed ice sheet
Philippe Guyenne, Adilbek Kairzhan, Catherine Sulem
Nonlinear hydroelastic waves along a compressed ice sheet lying on top of a two-dimensional fluid of infinite depth are investigated. Based on a Hamiltonian formulation of this pro…
Interaction between long internal waves and free surface waves in deep water
Adilbek Kairzhan, Christopher Kennedy, Catherine Sulem
We consider a density-stratified fluid composed of two immiscible layers separated by a sharp interface. We study the regime of long internal waves interacting with modulated surfa…
Critical, stability and higher-order analysis for Hardy type inequalities on Cartan-Hadamard manifolds
Prasun Roychowdhury, Durvudkhan Suragan, Nurgissa Yessirkegenov
In this paper, we focus on three main objectives related to Hardy-type inequalities on Cartan-Hadamard manifolds. Firstly, we explore critical Hardy-type inequalities that contain…
Variational eigenvalues of the subelliptic -Laplacian
Mukhtar Karazym
We use the Lusternik-Schnirelman theory to prove the existence of a nondecreasing sequence of variational eigenvalues for the subelliptic -Laplacian subject to the Dirichlet bou…
Subelliptic -Laplacian spectral problem for Hörmander vector fields
Mukhtar Karazym, Durvudkhan Suragan
Based on variational methods, we study the spectral problem for the subelliptic -Laplacian arising from smooth Hörmander vector fields. We derive the smallest eigenvalue, prove…
Mixed fully nonlinear local and nonlocal elliptic operators in Heisenberg group
Priyank Oza, Jagmohan Tyagi
We establish the comparison principle, existence and regularity of viscosity solutions to the following problem concerning the mixed operator: \begin{align} \begin{cases} α\mathcal…
Fujita exponent on stratified Lie groups
Durvudkhan Suragan, Bharat Talwar
We prove that is the Fujita exponent for a semilinear heat equation on an arbitrary stratified Lie group with homogeneous dimension . This covers the Euclidean c…
A note on the quartic generalized Korteweg-de Vries equation in weighted Sobolev spaces
Alejandro J. Castro, Amin Esfahani, Lyailya Zhapsarbayeva
In this paper we establish the persistence property for solutions of the quartic generalized Korteweg-de Vries equation with initial data in weighted Sobolev spaces $H^{s}(\mathbb{…
The Nonlinear Schrödinger-Airy equation in weighted Sobolev spaces
Alejandro J. Castro, Khumoyun Jabbarkhanov, Lyailya Zhapsarbayeva
We study the persistence property of the solution for the nonlinear Schrödinger-Airy equation with initial data in the weighted Sobolev space $H^{1/4}(\mathbb{R})\cap L^2(|x|^{2m}d…
Principal frequency of p-sub-Laplacians for general vector fields
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan
In this paper, we prove the uniqueness and simplicity of the principal frequency (or the first eigenvalue) of the Dirichlet p-sub-Laplacian for general vector fields. As a byproduc…
Representation formulae for the higher-order Steklov and -Friedrichs inequalities
Tohru Ozawa, Durvudkhan Suragan
In this paper, we obtain remainder term representation formulae for the higher-order Steklov inequality for vector fields which imply short and direct proofs of the sharp (classica…
Trace formulae of potentials for degenerate parabolic equations
Mukhtar Karazym, Durvudkhan Suragan
In this paper, we analyze main properties of the volume and layer potentials as well as the Poisson integral for a multi-dimensional degenerate parabolic equation. As consequences,…
Multidimensional inverse Cauchy problems for evolution equations
Mukhtar Karazym, Tohru Ozawa, Durvudkhan Suragan
We discuss inverse problems to finding the time-dependent coefficient for the multidimensional Cauchy problems for both strictly hyperbolic equations and polyharmonic heat equation…
Regularity of Fourier integral operators with amplitudes in general Hörmander classes
Alejandro J. Castro, Anders Israelsson, Wolfgang Staubach
We prove the global -boundedness of Fourier integral operators that model the parametrices for hyperbolic partial differential equations, with amplitudes in classical Hörmande…
Regularity properties of Schrödinger integral operators and general oscillatory integrals
Alejandro J. Castro, Anders Israelsson, Wolfgang Staubach +1
We introduce the notion of Schrödinger integral operators and prove sharp local and global regularity results for these (including propagators for the quantum mechanical harmonic o…
Global well-posedness for the nonlinear wave equation in analytic Gevrey spaces
Daniel Oliveira da Silva, Alejandro J. Castro
We obtain an asymptotic rate of decay for the radius of spatial analyticity of solutions to the nonlinear wave equation with initial data in the analytic Gevrey spaces.
Weighted anisotropic Hardy and Rellich type inequalities for general vector fields
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan
In this paper, we establish the weighted anisotropic Hardy and Rellich type inequalities with boundary terms for general (real-valued) vector fields. As consequences, we derive new…
A comparison principle for nonlinear heat Rockland operators on graded groups
Michael Ruzhansky, Durvudkhan Suragan
In this note we show a comparison principle for nonlinear heat Rockland operators on graded groups. We give a simple proof for it using purely algebraic relations. As an applicatio…
Hardy and Rellich inequalities for anisotropic p-sub-Laplacians
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan
In this paper we establish the subelliptic Picone type identities. As consequences, we obtain Hardy and Rellich type inequalities for anisotropic p-sub- Laplacians which are operat…
On geometric estimates for some problems arising from modeling pull-in voltage in MEMS
Durvudkhan Suragan, Dongming Wei
In this paper for all we prove that the pull-in voltage of the -MEMS (micro-electro mechanical systems) problems on a smooth bounded domain of is…
Transference of local to global maximal estimates for dispersive partial differential equations
Alejandro J. Castro, Salvador Rodríguez-López, Wolfgang Staubach
In this paper we give an elementary proof for transference of local to global maximal estimates for dispersive PDEs. This is done by transferring local estimates for certain…