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The Cauchy Problem

• Authors : Hector O. Fattorini; Adalbert Kerber

Subjects: Initial value problems; Cauchy problemMATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis

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A General Mollification Regularization Method to Solve a Cauchy Problem for the Multi-Dimensional Modified Helmholtz Equation.

• Authors : Xu, Huilin¹ (AUTHOR) ; Wang, Baoxia¹ (AUTHOR); Zhou, Duanmei¹ (AUTHOR)

• Source: Symmetry (20738994). Nov2024, Vol. 16 Issue 11, p1549. 16p.

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On the Cauchy Problem for the Vlasov-Maxwell-Fokker-Planck System in Low Regularity Space.

• Authors : Fan, Yingzhe¹ (AUTHOR) ; Tan, Lihua² (AUTHOR)

• Source: Symmetry (20738994). Jan2025, Vol. 17 Issue 1, p100. 19p.

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Atomic Solution of Third Order Fractional Abstract Cauchy Problem.

• Authors : Alkhateeb, Rami¹ ; Awwad, Ghaith²

• Source: European Journal of Pure & Applied Mathematics. Oct2024, Vol. 17 Issue 4, p3061-3078. 18p.

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The Cauchy problem for the fractional nonlinear Schrödinger equation in Sobolev spaces.

• Authors : Hak Bom Mun¹ ; Jin Myong An¹ ; Jin Myong Kim¹

• Source: Bulletin of the Belgian Mathematical Society - Simon Stevin. Oct2024, Vol. 31 Issue 3, p278-293. 16p.

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Backward Continuation of the Solutions of the Cauchy Problem for Linear Fractional System with Deviating Argument.

• Authors : Kiskinov, Hristo¹ (AUTHOR) ; Milev, Mariyan² (AUTHOR) ; Petkova, Milena¹ (AUTHOR)

• Source: Mathematics (2227-7390). Jan2025, Vol. 13 Issue 1, p76. 16p.

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Numerical Solution of the Cauchy Problem for the Helmholtz Equation Using Nesterov's Accelerated Method.

• Authors : Kasenov, Syrym E.¹ (AUTHOR) ; Tleulesova, Aigerim M.¹ (AUTHOR) ; Sarsenbayeva, Ainur E.² (AUTHOR)

• Source: Mathematics (2227-7390). Sep2024, Vol. 12 Issue 17, p2618. 20p.

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Well- and ill-posedness of the Cauchy problem for semi-linear Schr\'odinger equations on the torus

• Authors : Kondo, Toshiki; Okamoto, Mamoru

Subjects: Mathematics - Analysis of PDEs

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A mollification regularization method with Dirichlet kernel to solve potential-free field inverse Schrödinger Cauchy problem.

• Authors : Yang, Lan¹ (AUTHOR); Zhu, Lin¹ (AUTHOR) ; He, Shangqin² (AUTHOR)

• Source: International Journal of Computer Mathematics. Sep/Oct2024, Vol. 101 Issue 9/10, p942-960. 19p.

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Global solutions to the Cauchy problem of BNSP equations in some classes of large data.

• Authors : Qi, Jie¹ ; Wang, Weike^1,2

• Source: Electronic Research Archive. Sep2024, Vol. 32 Issue 9, p1-46. 46p.

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