Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem
Sign Up to like & getrecommendations! Published in 2022 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2022.108278
Abstract: We exhibit a new decomposition of the nonlinearity for the Muskat equation and use it to commute Fourier multipliers with the equation. This allows to study solutions with critical regularity. As a corollary, we obtain… read more here.
Keywords: critical cauchy; equation; applications critical; muskat equation ... See more keywords
The Applications of Critical-Point Theory to Discontinuous Fractional-Order Differential Equations
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DOI: 10.1017/s001309151600050x
Abstract: Abstract We consider a fractional equation involving the left and right Riemann–Liouville fractional integrals and with Sturm–Liouville boundary-value conditions. We establish the variational structure of the problem and, by using critical-point theory, the existence of… read more here.
Keywords: point theory; applications critical; theory discontinuous; critical point ... See more keywords
Guest Editorial: Advanced Computing and Blockchain Applications for Critical Industrial IoT
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Industrial Informatics"
DOI: 10.1109/tii.2022.3183443
Abstract: , IEEE T RANSACTIONS ON S ERVICES C OMPUTING , Scientific reports Nature , Journal of Network and Computer Applications , Signal processing , Cryptologia , Journal of Network and Systems Management , Visual Communication… read more here.
Keywords: advanced computing; guest editorial; applications critical; editorial advanced ... See more keywords