scientific article; zbMATH DE number 7377901

zbMath1475.35350MaRDI QIDQ5004868

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Publication date: 3 August 2021

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zbMATH Keywords

a priori estimatespseudodifferential operatorLeray-Schauder principleHIFUoncologycoupled PDE modelheating of biological tissuemaximal Lp-regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) General aerodynamics and subsonic flows (76G25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) A priori estimates in context of PDEs (35B45) Hydro- and aero-acoustics (76Q05) Biophysics (92C05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell biology (92C37) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19) Topological and monotonicity methods applied to PDEs (35A16)

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