2018
DOI: 10.20944/preprints201801.0184.v1
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Application of Initial Boundary Value Problem on Logarithmic Wave Equation in Dynamics

Abstract: We introduce a class of logarithmic wave equation. We study the global existence of week solution for this class of equation. We deal with the initial boundary value problem of this class. Using the Galerkin method and the Gross logarithmic Sobolev inequality we establish the main theorem of existence of week solution for this class of equation arising from Q-Ball Dynamic in particular.

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Cited by 2 publications
(2 citation statements)
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“…It is hardly necessary to warn any economic scientist, let alone an engineering or mathematics researcher of the dangers of allowing these intellectual habits to influence judgment about the behavior of students in international studies. If our initial assumptions and predicted results are valid the expected results, exerted on a more rigid international scientific study system, seem to have a theory of international scientific relations [9,17], a political theory that is consistent with whatever other sort of theory of international relations we individually find most satisfactory.…”
Section: Resultsmentioning
confidence: 61%
“…It is hardly necessary to warn any economic scientist, let alone an engineering or mathematics researcher of the dangers of allowing these intellectual habits to influence judgment about the behavior of students in international studies. If our initial assumptions and predicted results are valid the expected results, exerted on a more rigid international scientific study system, seem to have a theory of international scientific relations [9,17], a political theory that is consistent with whatever other sort of theory of international relations we individually find most satisfactory.…”
Section: Resultsmentioning
confidence: 61%
“…Explaining the three-layer matrix as above, their properties can be extended to the general matrices with more-layer structure. To the nearest future we would study some numerical methods and approximations [21,24] on the above problems using simulations.…”
Section: Compound Structural-based Matrixmentioning
confidence: 99%