Results 11 to 20 of about 74 (68)
Forum of Mathematics, Sigma, 2021 We establish new Strichartz estimates for orthonormal families of initial data in the case of the wave, Klein–Gordon and fractional Schrödinger equations.
Neal Bez, Sanghyuk Lee, Shohei Nakamura
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Estimates for evolutionary partial differential equations in classical function spaces
Forum of Mathematics, Sigma, 2023 We establish new local and global estimates for evolutionary partial differential equations in classical Banach and quasi-Banach spaces that appear most frequently in the theory of partial differential equations.
Alejandro J. Castro +3 more
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Quadratic Klein-Gordon equations with a potential in one dimension
Forum of Mathematics, Pi, 2022 This paper proposes a fairly general new point of view on the question of asymptotic stability of (topological) solitons. Our approach is based on the use of the distorted Fourier transform at the nonlinear level; it does not rely only on Strichartz or ...
Pierre Germain, Fabio Pusateri
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Global and blow up solutions to cross diffusion systems
Advances in Nonlinear Analysis, 2015 Necessary and sufficient conditions for global existence of classical solutions to a class of cross diffusion systems on n-dimensional domains are given. Examples of blow up solutions are also presented.
Ahmad Shair, Le Dung
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The Boson Star Equation with Hartree Type Non-Linearity: Global Existence in H^1/2(R^2 ) [PDF]
, 2019 2010 Mathematics Subject Classification: 35Q55, 35Q85 ...
Georgiev, Vladimir, Shakarov, Boris
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WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS
Forum of Mathematics, Sigma, 2020 Let $X$ be a space of homogeneous type and $L$ be a nonnegative self-adjoint operator on $L^{2}(X)$ satisfying Gaussian upper bounds on its heat kernels.
HUY-QUI BUI +2 more
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Advanced Nonlinear Studies, 2021 This paper establishes pointwise estimates up to boundary for the gradient of weak solutions to a class of very singular quasilinear elliptic equations with mixed ...
Do Tan Duc +2 more
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Reverse Stein–Weiss Inequalities on the Upper Half Space and the Existence of Their Extremals
Advanced Nonlinear Studies, 2019 The purpose of this paper is four-fold. First, we employ the reverse weighted Hardy inequality in the form of high dimensions to establish the following reverse Stein–Weiss inequality on the upper half space:
Chen Lu, Lu Guozhen, Tao Chunxia
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CONDITIONAL LARGE INITIAL DATA SCATTERING RESULTS FOR THE DIRAC–KLEIN–GORDON SYSTEM
Forum of Mathematics, Sigma, 2018 We consider the global behaviour for large solutions of the Dirac–Klein–Gordon system in critical spaces in dimension $1+3$ .
TIMOTHY CANDY, SEBASTIAN HERR
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POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES
Forum of Mathematics, Sigma, 2018 We obtain partial improvement toward the pointwise convergence problem of Schrödinger solutions, in the general setting of fractal measure. In particular, we show that, for $n\geqslant 3$, $\lim _{t\rightarrow 0}e^{it\unicode[STIX]{x1D6E5}}f(x)$$=f(x ...
XIUMIN DU +3 more
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