Maximal regularity and two‐sided estimates of the approximation numbers of the nonlinear Sturm–Liouville equation solutions with rapidly oscillating coefficients in L2(ℝ)

DOI10.1002/mma.9280MaRDI QIDQ6185400

Serik Altynbek, Madi M. Muratbekov, Mussakan B. Muratbekov

Publication date: 8 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

numbersapproximation numbersmaximal regularitySturm-Liouville theoryoscillating coefficientsKolmogorov numbers

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sturm-Liouville theory (34B24) Nonlinear ordinary differential operators (34L30)

Cites Work

• Weighted identities for solutions of generalized Korteweg-de Vries equations
• Muckenhoupt weights and maximal \(L^p\)-regularity
• Linear and quasilinear elliptic equations
• Sturm–Liouville operator with a parameter and its usage to spectrum research of some differential operators
• On Some Properties of the Powers of a Formally Self-Adjoint Differential Expression
• Korteweg-de Vries and nonlinear Schrödinger equations: qualitative theory
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
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