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E-Books | Biblioteca da FCTUNL | Não Ficção | QA297. FCT 95393 (Browse shelf) | 1 | Available |
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QA297. FCT 95382 Modern operator theory and applications | QA297. FCT 95387 Linear partial differential equations for scientists and engineers | QA297. FCT 95388 Positivity | QA297. FCT 95393 Beyond partial differential equations | QA297. FCT 95423 Nonstandard analysis | QA297. FCT 95434 Control of coupled partial differential equations | QA297 FCT 95458 Stochastic ordinary and stochastic partial differential equations |
Colocação: Online
The present volume is self-contained and introduces to the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis. Only some examples require more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Particular stress is on equations of the hyperbolic type since considerably less often treated in the literature. Also, evolution equations from fundamental physics need to be compatible with the theory of special relativity and therefore are of hyperbolic type. Throughout, detailed applications are given to hyperbolic partial differential equations occurring in problems of current theoretical physics, in particular to Hermitian hyperbolic systems. This volume is thus also of interest to readers from theoretical physics.
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