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Results tagged with ap.analysis-of-pdes
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user 88808
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
2
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Estimates for Klein-Gordon-Equation follow directly from Wave equation Estimates
in this paper http://arxiv.org/pdf/1412.1626.pdf it says that Lemma 3.1/(3.1) follows from Theorem 1.3 in http://arxiv.org/pdf/math/0402192.pdf without extra details. Can somebody please explain that? …
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Strichartz Estimates for radial Klein-Gordon equation
I'm trying to prove global wellposedness for the Klein-Gordon-Equation with radial initial data. I'm therefore searching for/trying to prove strichartz estimates of the form: $$ ||e^{it\langle D\rangl …
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Different Besov-Norm Definitions
first some notation: $\langle x\rangle=\sqrt{1+x^2}$, $P_{j}$ is the Littlewood Paley Projector and $P_{\leq0}$ corresponds to the small frequencies.
I have a the following definition of the Besov no …
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Accepted
Different Besov-Norm Definitions
In this paper http://arxiv.org/abs/1007.3418 one can find definitions for both inhomogenous and homogenous besov norms. The second definitions are the ones for the inhomogenous besov norms if you take …
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Estimating sums with restrictions to different Frequencies
I have problems understanding two (for my research important) details in the Proof of Theorem 4 (page 14) in this paper: http://arxiv.org/abs/1209.1518. Notation is very straightforward and is found o …
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