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Henry D. — Geometric Theory of Semilinear Parabolic Equations
Henry D. — Geometric Theory of Semilinear Parabolic Equations

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Название: Geometric Theory of Semilinear Parabolic Equations

Автор: Henry D.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1981

Количество страниц: 348

Добавлена в каталог: 15.08.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$L_{\infty}$-bounds      74
Analytic semigroup, definition of      20
Analytic semigroup, generator of      20
Analyticity      11
Asymptotically autonomous      96
Averaging      66 68 69 221 292—294
Bifurcation, from a focus      181—187
Bifurcation, of equilibria      178 263
Bifurcation, to a circle in diffeomorphisms      266—274
Bifurcation, to a torus      266—274
Bifurcation, transfer of stability at      178—263
Burger's equation      134—135
Center manifold, approximation of      171
Center manifold, existence and stability      168
Center-stable manifold      116
Center-unstable manifold      262
Channel flow, swelling of      117
Characteristic multiplier      197
Chemical reactions      43 82 167
Combustion theory      101 158 319—330
Contraction principle      12 13
Dichotomies, exponential, definition of      224
Dichotomies, exponential, discrete      229
Dichotomies, exponential, implications of      227
Dichotomies, exponential, perturbation of      237 238 240 242 245
Dynamical system      82
Embedding theorems      9 35—40
Equilibrium point      83
Essential spectrum, characterization of      140
Essential spectrum, definition of      136
Essential spectrum, examples of      140—142
Fractional powers, definition of      24
Fractional powers, examples of      32—40
Frechet derivative      10
Gradient flow, an example of      118—128
Gradient flow, domains of attraction in      123—125
Gradient flow, maximal invariant set of      126—127
Heat equation      16 41
Hodgekin — Huxley equation      42
Implicit function theorem      15
Instability, criterion for      102 104 105 107 109
Integral inequalities      188—190
Invariance principle      92 93
Invariant manifold, coordinate system near some      304
Invariant manifold, definition of      143 154
Invariant manifold, existence of      143 161 164 165 275 297
Invariant manifold, extensions of local      154 156
Invariant manifold, further properties of      289—291
Invariant manifold, smoothness of      152 278
Invariant manifold, stability of      147 150 277 297
Invariant set      91
Liapunov function      84
Maximum principle      60 61 109
Navier — Stokes equation      45 79
Nirenberg — Gagliardo inequalities      37
Nonautonomous linear equations      190
Nonautonomous linear equations, adjoint of      204
Nonautonomous linear equations, backward uniqueness      208 209
Nonautonomous linear equations, density of range of solution operator of      207
Nonautonomous linear equations, estimates on solution of      191
Nonautonomous linear equations, nonhomogeneous      193
Nonautonomous linear equations, periodic      197
Nonautonomous linear equations, slowly varying coefficients of      213
Nuclear reactors      44 62 95
Omega limit set      91
Operator, fractional powers of      24 25
Operator, products of      28
Operator, sectorial      18
Operator, spectral set of      30
Operator, sums of      19 27
Periodic linear systems      197
Periodic linear systems, Floquet theory of      198
Periodic linear systems, Fredholm alternative for      206
Periodic linear systems, stability of      200
Periodic orbit      83
Periodic orbit, coordinate system near      299
Periodic orbit, families of      309
Periodic orbit, instability of      254
Periodic orbit, perturbation of      256 257
Periodic orbit, stability of      251
Periodic solutions, instability of      249
Periodic solutions, perturbation of      255
Periodic solutions, stability of      247
Poincare map      258—261
Population genetics      43 314—319
Predator-prey systems      201 312
Saddle-point property      112
Sectorial operator, definition of      18
Sectorial operator, fractional powers of      24 25
Sectorial operator, properties of      19 23
Semiconductors      42
Solution of differential equation, classical      75—76
Solution of differential equation, compactness of      57
Solution of differential equation, continuation of      55
Solution of differential equation, continuous dependence of      62
Solution of differential equation, definition of      53
Solution of differential equation, differentiability of      64 71 72
Solution of differential equation, existence of      54 59
Solution of differential equation, uniqueness of      54 59
Spaces $X^{\alpha}$, definition of      29
Spaces $X^{\alpha}$, properties of      29
Spectral set      30
Stability, converse theorem of      86 90
Stability, criteria for      84 98 100
Stability, definitions of      83
Stability, invariance principle for      92 93
Stability, of families      108
Stability, orbital      84
Stability, under constant disturbances      88 90
Traveling waves, existence      129
Traveling waves, stability of      130—133
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