@sel: l-bhb*e.h"*ä

_j_

1 1.

-

^{15. October 2010,} Schmitten, Germany

V6rsus,--rbete)4.rt t< lJo&\e f

@sel: l-bhb*e.h"*ä

_und Z,h""se- 6hü""Srr4/.l tü.re

Linntse- 60ub,rnrrsrs(erne

und 2rr*"

^tlUu

a/'V

%5* und

Qe;hur

ut"^pbxe

&h0* |

Abtd?olungen unol

T"b6'*oon

),) .\

xe

lnternational Conference on Evolution Equations

E 4

3)

4)

0

tÄlzhrrdrrun

Qn, i: =(i:),

^ü

?r

=

(. ).)

Sha./o^rp..,dt'tlad ^I

<;,i, ⁼ _4'"rr;

Z7 1x,"/7=o

Wbrp.tad.ukt ^{ln Qs}

^t

.s ..5

XXY

6o.oda

i - ä* ^cAi

- --l -.s -i -S

(x

_,n

)= (f _,n>

-l -.-l __s J

(.xtflo?-(Frf,o)=o l/.ss,.

- _'\)o

rrneQftrr,,

)r2orma1 en,a]el-,r

ät suiadrt

^{eu *Nu} Qahtu6,rnMor*,

no cl'n iettet lr%rfiialu etnhet'6cph/o, ^{nc l=} r3n(< F', ä

r.

_rläu

1 ;,i

It?

*

_{Q ü} =_-TPf,cJe ^Aes, uoeD

i

^{.^"1}

; *t*

6vnnl,on P,^* /1nlogo,,-r,nn

Uilt'Uill ^"rir'1 q**Je / lLu,n

tbet-,e

-s -s -a.J I

x =p+ ^{(^r+/t,t.s}

(f,;'>

=

qiF,ä>

) ..5.5 -l --\

(x,fl o2 - (p ,4) :o

cpr,.,^rneCnh'u |e_$1vn impL,E(e-Er--'

+l} (?) .(Z)a

0- [*.f^naIt

-3*. _{=Q ?}

_T

+ K3 =C) I -

Schnil{guo.ola x^+ xL

Q. x^ $ ^xr.

-!r

_- Xn - Qxr:Q :) Xn= - Q- Q*"

-2-4*r *xa-3*r *2

+ ^xz-Q*?*s

e Gtü.hur\-

_L

r 3

t)aÄa^L(en

+

un{uberr(irn,nteu Z65 , ^d.h.

1 L1o.slob?a

Asr.

^,6A0Lrs

Sadce

3(r)

⁼

trg

- cf

ⁱ

(?).

Stlrt,i4..-o,nlo cl.

,

tOinloe| s.o&.hen

&-"n

n',-(1.) , ^f,=(;)

<i^, ^f,r)=

^u

,i

lt, ^tlf,,l/

..-" y

Q+,(-t

_=ce

.__.

:)

_cps

."(o.

?=o

^--.

=

^tDirlae( zor'rdtart n&rrn*dap

(i^pT|ü(e b,'s/ {2"'t

e- ^"/-

-

-Q-

lnternational Gonference on Evolution Equations

11.

-

^{15. October 2010,} Schmittenn Germany

l

Lt;q&'chlzei€

:

Lle*, ,Oo,naQl',.n, .t2o'',ei.envdde,r

"-=(ö x(i) =(-i)

?

/Qbrl.'nd _z, üty.autS

d ^(3ts) , {)

⁼

<A(il,ir H), ^- J{

= * ^lr-,1

mlnlrn.2

[,it s=-{, al(3{.),€)=07

ö1.h.

ö

^(t) ⁼ (_i) ,if *tn,-ftyu,L(

?

^l-täq Lr',hloe;t'.

% ⁿ⁼⁵

S,Ztrturgrun)6,

*n

J

^it

(

_{n,'ch( s*L, eJ,}

_{

=D

₀

^,If f => ö ^und z-

hobat Sc.)r,o;\-u"ltL

,(l),0),

⁼

a + o.

=lAAprs-'l-".,) ^--ßI

t-ee4 Guoo/a

8.fuurn

^,

a)

A9orqa/en der &unu

öelba ^{e,h ett}

,(i),

6(s) = (ä,)

i)=?+,t

>ct

tliU

₌

ß

ft <i,he)r- h ^{- c2}

⁾

-3-

lnternational Conference on Evolution Equations

11.

-

^{15. October 2010,} Schmitten, Germany

t(

^eme

i.Q^ Qi=f,

Suo},n,

btu"ö ^öl'

^60e;J,-?)

I ^iFlzhra 1415

^6bes

+!o-*/"^rc.

l1-Norlnur6en

ks1"^

\bt'ot^r"*2 /

Sleofiu-f

/ Qil;6'o')

in 6-UPlb ^:Fc,n

/-;rbo'la-/ r _Fr,i/'hy' *ät,d*n

loelne Gtu4 ^. rc^n\

o(e A

'ad=-

_&a ;

_* o)

e. _U!" *!o

^,t'?d

W Tr(r^u-

^Ltorl

Q^

(+

ä)

qanou:_ a're ^Z.h.

v-(J

ca^6 P ^{< /,} o

@-arvb, dtr äfr-Vt#

^mu?P:

clt-hu A = n-r^ngQ

^v

G

z

f 4 e

^$

l. t> Ä ^-4 ZÄL1Ll

Ä2 \

o 4 ^,t

oe,(,

e o

,4

2 o -4 e

@

-Ä

4

o 0

K

= ?-Qf

^-ße

? ⁼

"*,5r-;2 ö

=> ^z=-a/t

"-> x _{=?+Vg= *lS}

+x

--],

:4(:)

oo

Il,,-grn* *rb, Qi:;

/.ir-11r-au,n ^laur A = _It?

t P'i

=

- _J it'(

Jrhomoöu?$

g7*trl

_{Pr? =}

ti

cll-

f,iun;,nootm

=

^{dtm lans}

A

_t

De:{.s^ina.r,äl dot,Q

-o

dLL

n *o

,/ =?:

,4

eg

_-4

og

&;>

Rä

- 6'

^{l'r,..t büra}

da

^ünp26l!,

oi& 6-,gn

e> di^

bu A =

n-

^cdüg P

= o <+ tr*

^{eina 4Siug,}

A ⁼ (;1,:;),

iIä) ; ⁼⁽ⁱ⁾

bnsQ * ^Jx.

äFrurlo.eLtm -- bns 0 *

4

*

^tYf

^a',e

toer+;e&L

4, d* lr&o,nt?i

^{^}

t,

,= (;) .'be- A

//'

-aI

/ a 2 i\

Jut ( ; i _{\ .(}

_,'(.L -'n

) ^{= Ä.}

^cte(

^(:, -t') o-dct(,!;)

⁺

i. det(l :)

a

'/ /

= ';--:::? : :, -.4

⁺

^{(-')'t - i'L}

t'- 'h(

e,.rrdeu{-,'7

1> Jet,Q= 'r?--( :e ^<-> ,/n=/,

Qa=--(

Los L{/li ntc

':) ^t

c4='t: );- ^(l"i i.):: ⁽ⁱ⁾

/'

,x'

*t, ,Le ^Lt,? ,.,1,-1

^l,-,?

^,\,

^,,1,:,

o ^ -4 I ,

,4 A ^L1 | n 6 -.{ A I .r ü ^{(D a.:} l ^c;

;> _7=L 7 ^t<-Ä-sz

- ^{s F} f iaaa i i =(!) ⁺ L(?t), L.Pl

j{"=":: 4i= (';i;,)i ^=(-i)

t')

Cn r y *

frl QZ

* tZ =

_"r'

/t)\€.J

o (Sarner'rl _{pxr arne(t.} $r ^rn : ft ⁺

p ,

l"e&'oä5u P'nLt

^u

I' f.

^?

2. ß. ( ä)

fn fz:

?. ^15.

=>

^ a ." I

^_,

*) .e Ä ^.1 | e

("-: c_l

2--

--t

hti,te

Littutr

a:6. j

.Arn + pr. __-s

-4 ü

Ä

/ e

'\ *.)

12 A*A 4,4L(

c-)

t,^n.

un^q)e

^{Qäh (og uelz lo'}

,2, t-b

,ech( Hj)n

^9o.--o[nueh(o,

(i),

(-:), _r1-)

. i = (i) ^+r\ _(rj) ^*/ (?)

^,

a

F _L1 ^

C*tl _^be

4

5t

-\Ji-

a -4

Ä

+ 2-C5). _C.t)

* ^(a)'Q. /

{- ,tt _I

+o +n,\C

{o ü ^,'(.

oo

*2^o

^oo 4o.4

=) ^n-1

4+t

*/48

^{+ 6u}

^+6. -

Glt

-S -

Slt

lnternational Gonference on Evolution Equations

11,

-

^{15. October 2010,} Schmitten, Germany

I

e,^edfo-ch *,terlutti

mrt

'J _Kt

₌

q r ^*., =p

f"re;

,-*NA,

<4: )_,?x,.te*g

3/l

3b

-"1

*"L

^ln

2 -4

4

L1 -q

-?

^e

e-e

/ ^* _t(

/'o i-lJ.n

.-be 4 ?,

2

ct

o

Li

e

o

2

o

(/

"i)

tfl,'

*,p(-:)+

"(T ^{t t,Axa|}

") irt ci,ru

/\n'r.

(r+i.,! *or,

j.rlu

6ü.:rlrtr6

hxhiub)'

p=t5

dat

^O

: ^{^.f;"}

F de{ ^'L

⁼

"'),{

el

.4\

-[o-o's- ^{G4) +),Gs)'} I ^+e.?.?]

Qcc + t

⁸

ir,,ru6,b'tJ',

-? -$

-I

-l

+?

:)

:(s L^5

\q

=o näl

F A:/

) 2 -t-l

? 5 -t -A^e

Ä A

^*L(

0Ä-.4

o\-e

,la-2

o 'l

^*.4

L)oÄ

Äoc

oÄo

C o ^.,{.

+

5*?D

-t)4e

? -'\

^e/(

lcJ -8

^e

t-t,( 5-2^

\---\--

irrr'*6'rrb-r

(tr),(?f,(D]

(e) =(L)

t

thr* "A4i

+4 = o

'),

J

z) o I ^?'snr$ ,n(aLu&'m-t:

ö J

^{K((: r^}

r ^xf

^:,L1

,_f0

t, ^{^*4 .2}

7.,: _{x

^j',

t^U

_^ ^{- 4o} _t^

sp*,t Ö,(i),

+ ₍ D-r(-i)-. -

r*ö

-rl

O = ^d,i-

ü (A,,,*Le.äna{rb^)

:) ^,7):@

_?

_/=Ol^, q- i;,{

*r/g/&

+ Xu

Ll"

q cl ,(t',

le

i I -4 ^o

I

L7,( )

^e

,lIq

432

D-G)=

o o o q

?

,(t "

'{.o 's

5

'5j

o

? q

?

,l -4 44

.( 4t

'!

o o o o q

A5

6 6

o o o o e

q e -4

a

q q o

o o

^-4to

aeA aao

oa-Q

3 6 6

Ll

t

o o o

?

et

2

-el

^-A

oe

L)o Lt

&)

o -6

I^tt

^so5er

(f) _{, ^be:} ,t+\ *e

-ö ^{(1),(1^),} (ä)

/

'{,,

''{ o\

(i _t

^:,

₎

⁼

[,.,

tl-e+o

^F

(

--3

X\

6

x.-_it

}(..

*+ _r"-nr

_A

><^

o&

L ^L-t

ti g

o o -\\

I

^l+

ä/

=?

a

^(1

_\(

4=

J

=a

t

o

@

a q

6

I

l+

ry

,l

1\

i)

an ao(

qq

A;

a

() -CL

/8\

_o

rol

- fo"

lqlc

(f

uA (

*1

=(

ht -4e

@

o

A=I

laer R

.ß)

It'e

4 o o o

+

^laa;

+

^oltn

1^ J -A

I ^{x +}

^K$

b) R.ä

/=

-tr-

lnternational Gonference on Evolution Equations

11.

-

^{15. October 2010,} Schmiften, Germany

t.3 _funLätg-sy

| (lr)

⁼

\ lf*) L)

_1..

_{heilt @,a*.}

Il6.tÄ" sJ,rer'b..sejra :

a= (l(o^r llrn.>l-., ^llcu-))

/,irv""u

Qbld/.!.'T

N +> ^Hn(tix

^A

l(*) : ^Q'i

Umhehr,o.bb5.

r

_$'

-4 _ho-t

_Llo..tÄ*

Q-^

⁽

I

,-huhrb^t-

+>

ddlT

1ö

o.tltok,6r f()= 0', _g()- 6'

6'A)c)-g(fr) ⁼ ((4") _=(tP)'*

s+".x,0&__a ü*ry,

: ßff;; ßl:; ^{un,t det+-)}

-

Dtdr,.3",o

, #Q"=F fi^-urL & F:,-u.h6r",

-v

---

A

ⁿ

*n

-Uo.€rix ^.

Aü = A"rt

⁾

^t I A-|6)i=ä

l-€gn'*ru. +3 ₎

CW'''rt

Oantr(öttt\dw ^l?07n,nt

^da-t

^(Q-

^t) i _- ^{p (a)}

₌

o

z-> fA

ist €,Surrscst

,'-, (l

&"#"?-;f x'',"t 6tu,gen *,

^{(A -}

^ tr)i = o

_,

66-.-V4,rr.

^dnet

f,-5

\Qo/n,

-tt ä ^-'ro,

^{f.;(rnuot alet}

^D,-entl-,

⁽ _{h ,}

ac'!ä L a.{ebr-"r}e

Oue$"J,he;( _ale>

{z2rV,

H-€

d,u

Llo,5"

"0üu

€y.*lt*- {-^A^, -,{zc)Jt"

@mur^un

rt, s- hl

Jia

l-la-da'"

Jr5.',od!uL".r

_'

..bn

_Q

8,

eaö

?(,p): (;'; l,;)

D(?')=(:^ :)

D

⁽

?)-,

_{cs?_.**,}

DG+) : _{( T:g} ^-*:T)

/ er? *iraV\

= (-"nf cos!/

?,,ta.r D(v) b ^(- -r)

_=.

( c-sz*:.r*"?

c_cosr*

l*...0) I 4 ."\

=(;;) =>t..e)b('r)'

o.)

r")

q

ä(1)

@=? (i)

,-? ( z)

,-? (;)

n=

J

+(7) i (;)

t-)

\4

e_4 --

(1) (4)

(?: i(n ^{+ 4(4)}

(;) ⁼ _{L(n +-/(3)}

/.1 o o\

I -

_{\ e a/z}

^z/t

_ntz/^{Ve I}

:>

=>

eL ³

1\:

rJ:

/lul*^be.

_vT

{l 3,

-6-

a^be

A /t

ⁱ

*)

?6nlst'"

^{6l e}

De)"/ä

^ß=

=) ^{C= ßQ}

aDD

fr? t Cen

= ^eL :) LDA^9

I 2,{5.

^l,n

d=(!"-)

^t

P-3eb0bn

International Gonference on Evolution Equations

11.

-

^{15. October 2010,} Schmitten, Germany

;)

"t)

Cer: e4 t Ce-g:

^c)

/ o ^4 :\

( i z ^'o)

?.ü*ö

^urrl

^llnp.ufr * _3oo,

donn ä6.ue*" ";t

^x

^{- Q.h*}

( =(i 7)

Drahart5.

-- ßR

dat ci "i;3")

C

*)

C2-q.X3-

q,) * e(o-

^cr)

(e-+.) (q" ^{- gq}

^*

l) ^{= (e-a) (q-r)(A-2)}

. [,

e / Unpa), ^{ü" =Q (*;F^J)}

L

Q1-

l"Aö

a't

⁼

(i

+G

o.be

_Q

),lt

6-) _olot (S-q{)

[5-**t:

4,.

^I

ä"i

:)(: :) = ( oo :) :) = (: :)(:;)

;.= ⁽ 1)

i,=(ä) ^Äe: _a =(:)

o Ao

V1

Ä A

z7 üa -(t

^

^

@-?

o4 O^

b) 6 _b'8( ^Q'i

⁼

^{cA"i un/}

^{Ä.-^2}

(A^^A).

^J:

= ^{n-^} a.J

^{= q.}

^A'n;

ll

v

_{= )"v}^)-)

4 ^{Äet ß=}

.=>

,ra^cJ1

T*{

/a

c)Lt

( I ^,3 .i ) I ,o ,

^{tan r}

{.

^aeä,

e- €r _e),t f4

^,

c)t/

in., ^gv h'., ä."r ß

r) ^t,',nol _^(bo ^,t,

^..nol 4-

(zurülo.ä) 629

c-t<:,,

ß-'.

@a ä5-r

^{Cu,ne AeiL er1 ztu),-, erf,nalest}

ä ⁼ f r' ^A (;)I

ltz= ir' ^{\ (al}

^"

^{/^( Z)J}